What causes driver's side rear wheel to be able to shake

Also check the Rear Lower Suspension Control Arms, both the stationary front one and the adjustable rear one. Check rubber bushings to verify they are tight and not deteriorated. One other thing, make sure the two(2) bolts attaching the Strut Mount and Coil Spring to the hub are tight. Check for damaged strut or coil spring..

Before driving any further, make sure the lug nuts are properly tightened.