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If each lightyear of space that was expanding was doing so uniformly, that would mean that as much of it would be expanding towards us as away from us
Wouldn't that mean that the red shift from distant objects would only be half of what we see? Then again, we use the red shift to estimate how far away those objects are so it would mean that our estimates would be incorrect; the objects would be further away than we thought - wouldn't they?
It is important to get things like this in their true scale perspective.