Divide your problem into parts.
A frequent problem is a string of General Illumination lights that causes the fuse to blow (in your case, be using too much power).
I'm not familiar with EM's as much as I am with more modern pinballs, but each string connects to a connector, right?
So, I have my diagonal cutters, and my soldering iron, I have a circuit breaker that is soldered to a blown fuse. If the General Illumination is normally a 5 amp fuse, my circuit breaker will be a 4-amp... it won't blow unless there is a problem, but it'll blow quicker when I'm testing. Alternately you could use a couple boxes of fuses to do the same troubleshooting.
The trick is to cut out a section, and see if the problem still is there.
So if the General Illumination has plugs for the backboard, and the playfield, I'll disconnect the backboard, and turn on the machine... do I still have a problem? If I'm now not blowing the fuse (dimming the lights) on the playfield, I know my problem is on the backboard.
So now I connect the backboard and disconnect the playfield. Turn the machine on, do I blow the fuse (dim the lights)? This confirms the section is somewhere in the backbox lighting.
Now I use my wire cutters. The idea is to make your cut where you can easily take some solder and bridge your cut with solder to reconnect.
I try to find a halfway point. Suppose I have two strings, of eight lights each. I'll make my cut to take out one of the two strings, turn on the machine, do I still have the problem? That isolates it to one string.
That string has eight lights. Find the middle point. Cut there. Do I still have the problem? I know it's one of the four remaining lights in the circuit. Or, I don't find the problem there, I use some solder to bridge the cut I made, and reconnect the other four lights, but now I cut halfway between the ones I know the problem is in.
Divide the problem by two when possible, have some way to identify where the problem is (easy if it blows fuses!), be ready to solder things back together as you complete each stage.
It's tedious, but this is how you do it.