For example, for redshift z=9, light travel time is 13.17 Gy, proper distance at time of absorption (aka comoving distance) is 30.72 Gly and proper distance at time of emission (which, in a spatially flat universe, corresponds to angular diameter distance) is 3.07 Gly. The factor of 10 between these two distances is no coincidence as the ratio of the scale factor is given by 1+z.
( The values have been calculated via http://www.astro.ucla.edu/~wright/CosmoCalc.html )
I said what we're seeing was 13.8B light years away 13.8B years ago, since it took 13.8B years for the light to reach us from the point it was emitted. I never said we could see now where they currently are. What I failed to account for was the space expansion during the time that the light was traveling meaning that the light had to travel further to reach us than the point of emission actually was when it emitted.
So really, it wasn't 13.8B years ago; it was emitted later. I don't know by how much, but it seems like maybe the other commenter does.
> If what we’re seeing was 13.8B light years away 13.8B years ago and are now 46B light years away, wouldn’t that mean that those things traveled ~32.2B light years in 13.8B years.
No. What we're seeing was 13.8BLY away (in our reference frame) when the light was emitted. Those things are 46BLY away now (again, in our reference frame) but we can't see them now, we can only see them as they were 138B years ago.