Bleeding brakes is a key part of automotive brake repairs. Whenever the brake lines are replaced or the brake fluid is drained, the lines must be bled to remove all air that may be present. A brake system with air in it is easy to diagnose, because the brake pedal inside the car will usually feel "spongey," and may go all the way to the floor when depressed.
The following procedure uses a Motive Power Bleeder, rather than a traditional manual bleeding. The Power Bleeder is significantly easier to use than other methods, and is not particularly expensive. (Note: iFixit is in no way affiliated with or supported by Motive. We just like their stuff!)