Ok, so it looks like you have no output from the 7915 you replaced (it's a voltage regulator not a transistor btw). Check what voltage you have on its 3 pins. The input is the centre one (2) the output is the right one (3). Is it bolted to the case or a heatsink? Its metal tab is connected to its input so if the heatsink is not isolated or it's bolted to common metalwork it should have an insulating washer. If it has no input, check the fuse before it and the bridge rectifier before that (feel free to post a photo of it).
You probably have +15V on both pins of the op amps etc because there's not voltage supply on the negative supply pins at all so the +15 is just backfeeding through them. Also note that the 7915 has internal short circuit protection so it may be fine, but is shutting itself off due to a short circuit on its output, so it may not be the culprit but we will start there. If you can disconnnect the PSU outputs from the other board(s) to check the voltages that would be useful to do for that reason. If there's -15V on 19/brown when it's not connected to anything else, the problem is further down the circuit...