Service stability system lite comes on on 2004 Buick LeSabre

service stability system light comes on . I turn off motor and restart and it is gone

Asked by for the 2004 Buick LeSabre
Does the light come back on after driving for some period or doing something specific?

When the car is turned off, the trouble code that is causing that light to come on may be temporarily cleared, but if the light keeps coming back on, it means the fault that is resulting in the code is still present. You'll need to have it diagnosed and fixed, but it will really help if you know exactly what set of circumstances tend to cause light to come on.
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I have a 2006 GMC Envoy SUV and I am having the same kind of problem. I have been to a GMC dealer workshop and they have shatterred my worried thoughts by assuring me that as long as the function of stabilitrack properly works when needed, it could be just dirt on one of the sensors connected to the wheels. After having taken my car to a professional car wash, the service message just disappeared.