97 ETC Suspension issue?

I have a 1997 Eldorado ETC w/ 80K miles. She is very loose in the rear, when going over rough highway, she seems to "sway" alot. Is this normal,
or is her "stabilization" systems messed up? Please advise.
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I have a 94 deville that did the same thing. I had to replace the rear knucles per the dealership. Instead, I replaced R/L rear spindle assy's. Problem solved.
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