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Take a piece of wood about as thick as a new brake pad and place it between the caliper piston an the caliper. Remove the caliper bleeder screw. Insert air noozle/gun and give it a very very short/light squirt of air. Be careful. You will be amazed at how very little air pressue it takes to launch the piston out of the caliper. Once you do one you will appreciate having the wood to stop the piston. Eye protection is also a good idea in case you spray some brake fluid.
If you had the right fitting to attach to the caliper bleeder or screw into the caliper body, a bicycle tire pump would probably work.
From: No more yankee my wankee, the Donger is tired!
First, I assume the caliper is completely removed from the vehicle.
Find a air nozzle that has a rubber tip on the end, and insert it where the actual fluid comes in from the line. No need to mess with the bleeder valve as you need it sealed off from just blowing the air straight through.
Like Jmess said put a piece of wood in the throat of the caliper and through a shop rag over to help catch any remaining fluid. More than likely one piston will completely unseat itself and the other will have to be pulled out.