Originally Posted by
FBinNY
Unless I'm sure that it'll be easy, I cut the existing cable to get a clean end at the front, and use a piece of heat shrink tubing to splice the new wire to the old, and gently push/pull through. Use a decently long piece of shrink tube so you have some margin in case you pull a bit too hard.
This idea sounds like a winner. I was thinking somehow pulling the new cable through using the old one, but couldn't think of a way to connect them that wouldn't be too bulky.