Do not pump the brakes. Just hold the brake pedal down firmly and let antilock work. A slight brake pedal pulsation might be felt or some noise noticed, but this is normal.
Chevrolet Cobalt Service & Repair Manual. CV Joint R&R
1.
Remove the wheel drive shaft from the
vehicle.
2.
Install the wheel drive shaft (2) into
a vise, Fig. 1
3.
Using a hand grinder, remove and discard
the inner (4) and outer (2) boot clamps, Fig. ...