The above advice is spot on in my novice experience.
I have a voice of music 915, which is pretty similar. One common area to check is the speaker balance pot, so deox/work that a bit as a very first step to see if that helps. Also, the RCA jacks going from the record player can also work themselves loose. Be sure to unplug before spraying the balance pots, and let dry before plugging back in. You might have to get to the left and right halves from inside the preamp. Also, you should find pasted inside the cabinet after taking the back panel off, the schematic and also the wiring/tube diagram pasted on the floor of the unit. Gary may have these also, if you don't see them.
Also, be sure to unplug before taking the back off, and still be careful, since there are several large filter capacitors that can hold a strong charge that can kill you.
After ruling out the balance pot... To troubleshoot, inside there are RCA cables going from turntable and tuner ( separately) to the preamp (the one with tone controls). Then, There's then RCA cables from the pre amp to the amp. Finally these usually have speaker outs from the amp to the speakers in cable form in plugs that have two pins (one larger than the other to ensure polarity) that can also be swapped.
Make sure these are ale secure first then give it a try. After checking these connections, you can trace to which component the issue is by process of elimination. Put another music source that has rca line level outs to the aux and see if it's still left side only. There will be labeled inputs on the preamp. If it acts the same as the record player, then you can rule that out. Be sure to move the selector switch to the appropriate input. You can also try your reel to reel as a source if you have media and that as an option. Btw reel to reel playback on these units is absolutely sublime, but I'm using an external Ampex 1455 while yours has the option in the cabinet. Nice!
Because everything in these units have a left and right you can switch the a/b cables starting at the source, then preamp then amp, then the speakers to see if it switches sides. The same can be done with tubes, as they are almost are all specific to one side or the other.
Btw you may have to wipe the bottom of the unit with a towel as there may be a fine layer of dust. I thought my floor of the unit was MDF but a wipe with a very slightly damp the towel revealed the solid cherry cabinet and the schematics.
If you can post pictures of the inside and the schematics the folks on this board can help you troubleshoot further if the above doesn't help. You can search my posts to see the guts of my unit and my rehab with lots of pictures. Was my first unit I ever worked on before getting a bunch of other stuff. Link...
http://audiokarma.org/forums/index.php?threads/new-guy-just-got-a-voice-of-music-model-915.698210/
As you can read I was a complete dummy and learned a lot along the way and am now an incomplete dummy.
Best of luck and I'm sure the good folks on this board can help you sort this out.