Ok, I was able to finally get the 3 equations, but now I'm having problems with the algebra, this system looks really difficult to solve.
Junction Rule: I1+I2 + I3= 0
Left Loop: V-I1R1+I2R2-V2-I1R4=0
Right Loop: E2-I2R2-I3R3=0
Can you tell me if these are right, and where do i go from here...