I recently broke one of my bleeder valves trying to brake it loose from all the rust. I drenched the broken valve in PB plaster and let sit over night then attempted to pull it out with an easy out. I broke the easy out in there to. I took it to a grinding shop in town and and for $40 had it removed. After reinstalling the the caliper I prepared to bleed the system. After I checked to make sure that That bleeding the Brakes on a 77 'vette isn't to different from any other old car, I found that the rear calipers have 2 bleeder valves. I only noticed one on my car until I took a better look and saw that the inside valve was broken. Had I known this before, I would have had the shop pull them both out. Then I noticed on my other rear caliper that the outside bleeder is broken! My main question is, do I need to be able to open both bleeders to bleed the system?
If I only have access to one valve on each rear caliper is this a problem, and do I need to pull the broken bleeders out and replace them with new ones.

Thanks for all the help.

 

Yes you have to bleed both the inner and outer halves of the rear calipers or you will have air trapped in there and a low brake pedal.
You can purchase rebuilt calipers at any auto parts store for about $65.00 each.
You can change only one caliper but install new pads on both sides if you change them.
Happy Holidays,
PG.