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Isaiah 53 How does Israel's suffering atone for the sins of the nations?

Isaiah 53:4
Indeed, he bore our illnesses, and our pains-he carried them, yet we accounted him as plagued, smitten by God and oppressed.
דאָכֵן חֳלָיֵנוּ הוּא נָשָׂא וּמַכְאֹבֵינוּ סְבָלָם וַאֲנַחְנוּ חֲשַׁבְנֻהוּ נָגוּעַ מֻכֵּה אֱלֹהִים וּמְעֻנֶּה:

Rashi comments:

Indeed, he bore our illnesses: Heb. אָכֵן, an expression of ‘but’ in all places. But now we see that this came to him not because of his low state, but that he was chastised with pains so that all the nations be atoned for with Israel’s suffering. The illness that should rightfully have come upon us, he bore.

Is there indication in Scripture, prior to this passage in Isaiah 53, that suggests the suffering of one can atone for the sin of another? What leads Rashi to this understanding/interpretation? How can the suffering of one atone for the sins of another?