This issue is almost, 99% of the time, never the cable. The idea that the video cable causes this is a myth that has been perpretrated for years by wishful thinking types because they want a ten dollar fix to their problem. One person says the cable fixed their problem so 100 other people buy an LVDS cable only to realize that wasn't their issue, but since they never come back to the thread to say it was not the issue, no one ever knows... they just assume the $20 fix will work.
Reballing is also BS because the GPU is DEAD!!!! Putting new solder balls on a DEAD GPU does nothing, you are just heating up the dead chip to make it work again, similar to how poking a recently killed bug causes it to move a little until it stops.
Try this if you have a machine with integrated graphics + discrete GPU. boot up, do nothing. Then open photo booth. photo booth turns the integrated GPU off, and discrete GPU on. If you see lines only with photobooth on, discrete GPU is bad. If you see lines only with photobooth off, intel integrated graphics is bad.
Most of the time this issue is screen or GPU related.
If you have an X1600 based iMac or Macbook Pro from 2006-2007, the GPU is probably already dead, or died 3 times already. These are just trash.
If you have a Macbook Pro with GeForce 8600M graphics, it is probably dead already. While not worth fixing, it is at least fixable.
If you have a Macbook Pro with an AMD GPU - it is about to die or has died already. You can replace the chip but it'll die again in a few years, these quad core sandy bridges married to the same heatsink as a junky AMD GPU are trash.
Whether the issue is in the screen, the GPU, the Intel CPU's integrated graphics, the LCD cable, how the LCD cable is plugged in, or the LVDS MUX; this will be specific to YOUR machine. There is no "oh this worked for him so it'll work for me, too", there is no shortcut around thinking, analyzing, and diagnosing on your own. Do not buy a cable because it worked for someone else, do not replace a GPU because it worked for someone else. Figure out your own issue based on your own symptoms, none of that wishful thinking crap!