Why do my back wheels have too much play in them

@joannmedley could be a transmission issue as well as a drive shaft U-joint issue or a differential issue. You will have to start narrowing it down. It might help if you can tell us what make and model your vehicle is. After that you want to isolate the loud clicking sound. Try to determine when and specifically where do you hear it. Let us know if this just started or if anything preceded this.