All I Know is, Some Stuff is Really Old

I am really scratching my head over this one. I saw a Youtube video today of a Hubble telescope image. Supposedly there is stuff in the inage 78 billion light years away. But when I was in college, they claimed the universe was 20 billion years old. So if stuff can't move faster than light, and everything is moving outward from a common point, how can anything be 78 billion light years away?

Also, now that I think about it, wouldn't the universe have to be at least 156 billion years old if that stuff is really that far away? I mean, it takes 78 billion years to get out there, and then another 78 billion for the light to reach us. Or am I crazy?

Do not answer that last question.

Or...wait. Maybe it takes at least 39 billion to get that far away, since we're moving, too. But no, you can't add sub-light speeds and get faster-than-light speeds. And then...oh, to hell with it.