פרת חטאת שלא לשמה פסולה (the cow for purification) – as Scripture states (Numbers 19:9): "חטאת היא"/It is for purification. And since the All-Merciful calls it “a purification,” we learned that it requires slaughter for its own sake like a sin-offering (see also Tractate Zevahim, Chapter 1, Mishnayot 1 and 4) – that a sin offering that was slaughtered not for its own sake or any of the other actions concerning it were performed not for its own sake, it is invalid).

ורבי אליעזר מכשיר- since it is slaughtered outside the Sanctuary. But the Halakha is not according to Rabbi Eliezer.

ושלא רחוץ ידים ורגלים פסולה – for since it is called a "חטאת"/for purification (Numbers 19:9) by the All-Merciful, and for this it (i.e., the Mishnah) takes the term "רחוץ ידים ורגלים"/whose hand and feet were washed, and it (i.e., the Mishnah) does not teach "קידש"/sanctified, for it does not teach sanctified, inside or outside, whether with vessels dedicated to the Temple service or non-sacred vessels, he fulfills his religious obligation.

ור' אליעזר מכשיר – for it is written (Exodus 30:20-21): that “when they enter the Tent Meeting [they shall wash with water, [that they may not die;] or when they approach the altar to serve…they shall wash their hands and feet, [that they may not die]. But the Halakha is not according to Rabbi Eliezer.

שלא בכהן גדול פסולה – as it is written (Numbers 19:3): “You shall give it to Elzezar the priest,” it (the cow/heifer) to Eleazar, but the rest of the cows/heifers are not used, other than by the Kohen Gadol/High Priest.

ור' אליעזר מכשיר- and the rest of all the cows, wither by the High Priest or whether by a common priest. But the Halakha is according to Rabbi Yehuda.

ובבגדי לבן הוא נעשית- that it is written regarding the cow/heifer (Numbers 19:10): “This shall be a permanent law for the Israelites and the strangers who reside among you,” and regarding Yom Kippur it is written (Leviticus 16:34): “This shall be to you a law for all time,” just as the Divine Service of Yom Kippur is with white clothes, so also is the action of the Cow/Heifer with white clothes.

חוץ מגיתה – the place that they make for its burning, like a species of a marked off place (i.e., selected for this purpose) which is corresponding to the opening of the hall containing the Golden Altar, but if he slaughtered it where it was not corresponding to the opening of the hall containing the Golden Altar, it is invalid.

או בשתי גיתות – as for example, that he divided it into two and burned half of it in this marked off place and half of it in that marked off place.

או ששרף שתים בגת אחת – even though he removed each one on its own/separately we invalidate them because of the labor, that this one invalidates the other one. But with that one after this one, it is fit/kosher.

ולא כיון כנגד הפתח פסולה (and he did not aim at the door – of the Holy of Holies – it is invalid) – for it is written (Numbers 19:4): “[Eleazar the priest shall take some of its blood with his finger] and sprinkle it [seven times] toward the front of the Tent of Meeting.”

מששית שביעית – for seven times (Numbers 19:4) is written in their natural order, but he counted the seventh prior to the sixth, and went back and sprinkled for the seventh [time], it is invalid, for we require that he would call for the sixth, “the sixth,” and for the seventh, “the seventh.” But from the seventh for the eighth, it is fit/kosher, for there isn’t an eighth [time] in sprinklings of [the blood] of the cow/heifer, and this one erred in mere speech.

וחזר והזה שמינית – not exactly, for in each matter it is fit/kosher, whether he went back and sprinkled or whether he didn’t go back and sprinkle. But on account of/subsidiary to the first clause [of the Mishnah), it (i.e., the Mishnah) took it. Alternatively, it surely teaches us that even though he added in the sprinklings, he did not invalidate it, for when he completed the seven sprinklings, its Mitzvah was completed, and furthermore we don’t concern ourselves to what he adds.

שרפה שלא בעצים – that he kindled the fire with the body of the cow/heifer.

כשרה – that “wood” is not written in the Torah, but [only] "ושרף"/”and he shall burn [the cow in his sight]” (Numbers 19:5) plainly/merely.

או בכל עצים – that he didn’t burn it (i.e., the cow) with cedar wood, pine and cypress and wood of fig trees that are taught [in the Mishnah] in the chapter above (see Tractate Parah, Chapter 3, Mishnah 8).

הפשיטה ונתחה כשרה (if he stripped/flayed it and dissected it) – it is written (Numbers 19:5): “[The cow shall be burned in its sight -] its hide, flesh [and blood shall be burned],” whether through flaying and dissecting it or whether attached.

על מנת לאכול מבשרה או לשתות מדמה כשרה – and specifically to eat and to drink that the first Tanna/teacher validates it, that with all of the sacrifices also in that manner it is kosher/fit, as it is taught in the Mishnah in the [Third] Chapter “All the Invalid”/כל הפסולים (Mishnah 3, [folio 35a], he thought about eating something that he generally doesn’t eat, it is kosher/fit, as for example, from the food of the Altar for a person, but if he thought on the condition to sprinkle from its blood on the morrow, the first Tanna/teacher invalidates, for the All-Merciful calls it a “sin-offering.” But Rabbi Eliezer holds that thought does not invalidate with regard to a cow at all, even with sprinklings. But he goes according to his reasoning that what is done not for its own sake he validates at the beginning of our chapter (see Chapter 4, Mishnah 1), which has no law from the laws of Holy Things, since it was performed outside [the Temple walls]. But the Halakha is not according to Rabbi Eliezer.

כל העסוקין בפרה – the red [cow] in one of its acts of Divine Service, whether at the beginning, whether at the middle whether at the end.

מטמאין בגדים – as it is written (Numbers 19:6): “[And the priest shall take cedar wood, hyssop and crimson stuff, [and throw them into the fire consuming the cow,” and near/adjacent to it (Numbers 19:7): “The priest shall wash his garments,” but in its burning, it is written (Numbers 19:8): “He who performed the burning shall also wash his garments,” but the person who person who throws the hyssop defiles clothing, doesn’t the person who does all the more so [defiles his clothing]? But rather, the verse comes and teaches us on all who engage with the cow/heifer from the beginning to the end require the washing of clothing.

ופוסלין אותה במלאכה – as it is written (Numbers 19:3): “[It shall be taken outside the camp] and slaughtered [in his presence,” but not that another labor should be done with it at the time of is slaughtered. And similarly with regard to its slaughter it is written (Numbers 19:5): “[The cow shall be burned – in his sight], but not that another labor should be done with its burning, we learned that the labor invalidates it from the time of its slaughter until it becomes ashes.

אירע בה פסול בשחיטתה – not that it became ritually forbidden by unskillful slaughtering, for if so, it defiles clothing because of being an animal not slaughtered according to the ritual rules, but rather it is invalid on account of the labor, similar that if an invalidation occurred to it through its sprinkling.

אינה מטמאה בגדים – for since that its slaughter was with an invalidation, if so, nothing was yet done to it for the sake of the heifer’s fitness, but if an invalidation happened to it while sprinkling, the slaughtered had already taken place in fitness/being kosher.

לעולם מועלין בה – a person who benefits from it whether prior to its burning whether after its burning, is liable for the sacrifice of unlawful use of sacred property, until the ashes are made, but after the ashes are made, there is nothing in the ashes coming as a result of unlawful use of sacred property, as it is written (Numbers 19:9): “it is for purification”/"חטאת היא".

ומרבין לה עצים- also especially until the ashes are made.

ומעשיה ביום – In the Tosefta (Tractate Parah, Chapter 4, Halakha 11) it explains, except for the gathering of its ashes and drawing [of water] and the mixing [of the ashes and the water], that they are able to gather the ashes of the cow/heifer at night, and to draw the water from the well and this is called the drawing of water/מילוי, and the putting into the ashes and this is called קידוש/mixing of the ashes in the waters of lustration, and all of this is permitted to be done at night. And all the actions concerning the cow/heifer are with a Kohen [only], except for the gathering of the ashes, and the drawing of the water and the mixing of the ashes in the waters of lustration and the sprinkling, which are appropriate for a non-Kohen/foreigner. The gathering of the ashes, as it is written (Numbers 19:9): “A man who is pure [shall gather up the ashes of the cow],” teaches that the gathering of the ashes is appropriate for any man. And [regarding] sprinkling, it states (Numbers 19:19): “The pure person shall sprinkle it upon the impure person [on the third day and on the seventh day],” whether he is a Kohen or whether he is not a Kohen.

והמלאכה פוסלת במים – as it is written (Numbers 19:9): “to be kept for water of lustration for the Israelite community. [It is for purification],” just as the sin-offering is invalidated with work [done by those involved in the ritual], as we have written above, so also the waters are invalidated through work [done by those involved in the ritual] from the time of the drawing of the water.

עד שיטילו את האפר – that they cast in the water from the ashes of the cow/heifer according to the measure that the ashes will be seen in the water and from them he sprinkles upon the impure individual, but if after they cast the ashes into the water he performed another task at the time of the sprinkling, he did not invalidate it.