Eruvin 3:7 - 3:8

שמא תעבר – lest the Great Jewish Court would make Elul a leap month (i.e., adding a 30th day to what is ordinarily only 29 days), and there will be two Holy Days, the thirtieth of Elul and the thirty-first, and he would need to go on the first day to one side and on the second day to the other side by making two Eruvin, and place them on the eve of Yom Tov, one on this side and the other on the other and say, etc. (i.e., that my Eruv for the first day will be in one direction and my Eruv for the second day will be in the other direction – like in the previous Mishnah).

ולא הודו לו חכמים – for they hold that it is one [day] of holiness. And the Halakha is according to the Sages regarding the two holy days of Rosh Hashanah. But not because doubt alone they established this lest the Jewish Court should sanctify the thirtieth day or the thirty-first day (as Rosh Hashanah/Rosh Hodesh), and one of them is a weekday. But because lest witnesses should come from the time of Minha/afternoon and beyond (and state that they saw the New Moon), and they would observe that day as holy and the morrow as holy and both of them would be one holiness. But, the rest of the Holy Days of the Diaspora, that they did not establish other than from doubt, for we don’t know when the Great Jewish Court sanctified the month, the Sages agree with Rabbi Yehuda that they are two [days of] holiness. And the Sages that are mentioned here are Rabbi Yossi.

מתנה אדם על הכלכלה – a basket that he has of fruits that are eatables forbidden the separation of sacred gifts, he makes a condition about the on the first Holy Day of Rosh Hashanah and states, “if today is a weekday, this will be heave offering on these, but if today is a Holy Day [of Rosh Hashanah], there is nothing in my words,” for we don’t collect heave-offering/Terumah on Yom Tov. And on the morrow, he states, “if yesterday was Holy and today is a weekday, may this that I stated yesterday regarding this [produce] be heave-offering on this, but if today is a Holy Day and yesterday was a weekday, it already was heave-offering/Terumah. And he consumes the basket containing chosen fruits that is designated and leaves over the Terumah/heave-offering.

ולא הודו לו חכמים – this is Rabbi Yossi as we stated (see previous Mishnah), who holds that it they are one holiness, and we don’t collect Terumah/heave-offering on them And especially with the two holy days of Rosh Hashanah as we have explained above.

ביצה שנולדה בראשון – of Rosh Hashanah (see the first Mishnah of the Tractate Betzah).

תאכל בשני – for if the first [day] is holy, the second is a weekday, and the egg that was born on Yom Tov is permitted on a weekday, for there is no preparation for a weekday. But if the first [day] is a weekday and the second is a holy day, it is found that that thee weekday prepares for the Holy day, and that is all right.

ולא הודו לו חכמים – on the two days of Rosh Hashanah alone, for they are one holiness. But on the rest of the Holy Days of the Diaspora, they (i.e., the Sages) agree with him.