Hi, I have a 92 Camry v6LE with the same problem, now on 3 windows. It just slides down and won't come up. I'm just now opening up the window to look inside, and as far as I can tell the cable is not doing what it should; it's loose. I wish there were a description about how this is supposed to work, so I could tell what's wrong. Sorry this isn't an answer, but it could point to where to look: possibly the cable mechanism is screwed up.
Remove the inside door window panel. Make sure the window is on the window track. Make sure the window linkage is not needing repair. Replace the window motor.
The front track of the 2005 Toyota Camry is 5 ft. 0.8 in. (60.8 in.).
The rear track of the 2008 Toyota Camry is 5 ft. 1.6 in. (61.6 in.).
The rear track of the 2005 Toyota Camry is 5 ft. 0.4 in. (60.4 in.).
The front track of the 2012 Toyota Camry is 5 ft. 2.4 in. (62.4 in.).
The front track of the 2004 Toyota Camry is 5 ft. 0.8 in. (60.8 in.).
The front track of the 2001 Toyota Camry is 5 ft. 1.1 in. (61.1 in.).
The rear track of the 2012 Toyota Camry is 5 ft. 2 in. (62 in.).
The rear track of the 2001 Toyota Camry is 4 ft. 11.9 in. (59.9 in.).
The front track of the 2008 Toyota Camry is 5 ft. 2 in. (62 in.).
The rear track of the 2011 Toyota Camry is 5 ft. 1.6 in. (61.6 in.).
The front track of the 2014 Toyota Camry is 5 ft. 2.4 in. (62.4 in.).