I on the moment equation here please

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The discussion centers on deriving the moment equation to solve for Ay in a structural analysis problem. The moment equation provided is ∑Mb = 8(-P2) - 20(-P1) - 32(Ay) + 15Ax, with P1 defined as 270 - P2. The user expresses uncertainty about correctly incorporating Ay and Ax into the equation and seeks clarification on the boundary conditions at points A and B, which should yield a total moment of zero. Additionally, they outline the equations for vertical and horizontal forces, indicating that there are four equations to solve for four unknowns. The user questions whether the ΣMb equation is correctly set to zero and how to handle the components of Ax and Bx.
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I have come to the point in the equation where I need the moment equation to solve for Ay. I am not sure how to get By in term of Ay though. The moment equation I get for Ay is:

∑Mb = 8(-P2) - 20(-P1) - 32(Ay) + 15Ax

I know P1 = 270 - P2

However I am not sure if I even have Ay and Ax right in the ∑Mb equation. Where do I go from here?
 

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Because of the boundary conditions in points A and B, TotalMb and TotalMa should be zero. You could write two different equations from here, and 2 more equations comes from TotalFy and TotalFx. And here you go, you have 4 equations and 4 unknowns, which you can solve for all the unkowns
 
Do i have the ΣMb equation right if I wrote it equal to 0?

Ok so for the Fy = 0 equation it would be -Ay -P1 - P2 +By = 0

For the Fx = 0 equation it would be -Ax + Bx = 0 (However, is Ax and Bx the total force across the cable or are the broken up into three components?)
 
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