Black Litterman and the Global Equilibrium

I've been trying to figure out what Black and Litterman did in their original paper to go from the Global Equilibrium to the asset returns. I finally broke down and bought Litterman's book and chapter 6 seems to point the way. Lots of simultaneous equations to solve, and I still can't make heads of tails of what he writes enough to figure it out, but it's definitely the tool that is needed to unravel that mystery. I will be happy when I get that unsnarled and can explain it to somebody else.