If the amp/speakers work in CD mode then switch the turntable's RCA output plugs at the amp.
If the problem is now on the right side speakers then the problem is in the turntable or it's output cables/plugs.
Clean/tight plugs and jacks are necessary.
A voltmeter can verify the AC output of the turntable in the millivolt range.... 2-7 or so?
Clip leads are useful as you want to wiggle the wires, while holding the RCA plugs steady to eliminate a cable issue and if okay, then gently wiggle the plugs at the receiver. With my old AR tables they are hard wired at the turntable and have RCAs at the amp input.
I worked on Base as an electronics tech and off Base in a TV/Stereo shop, in the late '60s, to pay for my flying lessons with the Aero Club at Castle, plus decades on mainly boats, certified factory service, and guitars/amps or just about anything that needs electron excitation for the family/friends.
"Honey the the hair blower ain't working!!!
Teaching yacht owners to be safe when troubleshooting or installing their gear and use a meter correctly was always a fun day at the office.
Meters and Scopes are helpful if you know how to use them correctly to troubleshoot the turntable.
Impeccable soldering skills are a plus with those tiny wires if that's the problem.