Chosen Solution
Both hinges ultimately are shot, the display loosely folds forward and backwards on it’s own. After inspection, both hinges show cracks on the clamps that connect to the posts (that are screwed to the display chassis). Taking this into account I was hoping that their was a guide/useful tips on how to remove both. I understand that it is a difficult repair.
Yes it is possible to replace, however, not easy. You have to remove the bottom of the computer and you can remove the hinges from there - it’ll come out with the screen. You have to remove the bezel unplug the LCD cable from the LCD. Then you can swap the hinges and reverse order
Apple does not sell the discrete parts of the hinges. You might find replacing the complete display easier than trying to take your display apart. Here’s the IFIXIT guide: MacBook Air 13" Late 2010 Display Assembly Replacement. Here’s the Apple P/N: Display Module 661-5732 (Around $300 ~ 450 US).
It’s possible. You have to take off the display bezel then replace the hinge with display cables.
I fixed the same issue by unscrewing the hinges from both the screen and the computer itself, placing the bottom of the hinge on a block of steel and hitting the silver outer part repeatedly with a hammer and punch. The screws holding the hinge to the screen were also loose causing the screen to wobble, but after the hammering and the screws being put back tight it felt near perfect.