Yep, just get yourself a vacuum bleeder (about $35 at any auto parts store) and bleed, bleed, and then bleed some more. Start with passenger side rear, driver side rear, pass side front, and then driver side front. Evacuate about 2-4 oz of fluid, then refill the M/C and move on to the next wheel. Repeat until fluid coming out looks clean at all 4 wheels.
To save some time, use a turkey baster type of suction device (NOT your wife's/mom's kitchen one!!) and suck most of the brake fluid out of the MC first. Refill the MC with new fluid, then start bleeding.
This will save you from having to suck the entire contents of the MC through the right rear brake line.