My 1989 Game Boy had a dead pixel column, so I had to pick: 3 hours with a soldering iron or just playing through it, and I picked wrong | Antique Tech Support - HW Forums
Been there with a Game Boy Pocket that had a busted screen and I went the repair route first. What finally worked was buying a cheap broken Game Boy off eBay and practicing my soldering on THAT board for a few weeks before touching my good one. Turns out the ribbon cable pads on these things are TINY and easy to cook if your iron is too hot. Get a temperature controlled iron and set it around 650 degrees, and use flux like it's going out of style. Also practice on junk first because ruining a working console over a $5 practice board is a bad trade. Playing through a dead pixel column sounds way better than a Game Boy that doesn't turn on at all.