Hi. how would i repair a rear axle for a 2006 toyota corolla? i dont have a lift so will i need to take it to an autobody shop? if so how much do these repairs cost usually?

Pull on the hand brake, loosen wheel nuts , chock front wheels, jack up the car on the rear wheel side, remove road wheel, release hand brake and remove brake drum, remove axle lock nut , the hub with the bearings will slide off the axle, if the bearings are shot a slide hammer puller may be used, replace bearings and seal . I don't think the axle will be damaged. Time wise around 1.5 Hrs.

What are going to do to repair the axle? There really is no axle on front drive cars, the wheel assembly is connected to a hub that is mounted to the frame through swing arms. And, you would not take your car to a autobody shop for mechanical work. The cost of repairs depends on what is being done.