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In astronomy, aren't they in some sense equivalent? Andromeda galaxy is 2.5 million light years way, so we are seeing it as it was 2.5 million years in the past.

No. Light year is the distance.

Distance/time * time = distance

Waiting a "light year" would be a year.

Yes, you are correct that astronomers talk about seeing into the past by X number of years when we look at a galaxy X light years away.

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