The oldest galaxies we can observe are around 13 billion light years away, so it takes their light about 13 billion years to reach Earth.
Minor correction to your correction: they're actually 46.5 billion lightyears away* but the expansion of space itself during that time meant that the light only went through 13 billion years of travel.
*
give or take a couple billion. If somebody wants to correct the correction's correction then do it!