The passenger side is the super long cable and it usually is the one to give you grief.
If your foot brake is bottoming out, and your passenger side is tight, that usually means your drivers side cable is not adjusted to the correct length. That is done on the drivers side ahead of the rear wheel, your foot cable comes that far, then there is a "Tee" apparatus that the 2 rear cables attach-to, with the foot cable in the middle of the Tee. There is adjustment on the driver's rear wheel cable at that Tee contraption, you have to use an open end wrench.
If you want it off, there is a pig-tail spring on your rear brake housing and the cable end is at that spring, but it sound like your cable is OK, just badly adjusted.