r((1.5b)-(y+b))=ry

Solution for r((1.5b)-(y+b))=ry equation:

Simplifying
r((1.5b) + -1(y + b)) = ry

Reorder the terms:
r((1.5b) + -1(b + y)) = ry
r((1.5b) + (b * -1 + y * -1)) = ry
r((1.5b) + (-1b + -1y)) = ry

Combine like terms: (1.5b) + -1b = 0.5b
r(0.5b + -1y) = ry
(0.5b * r + -1y * r) = ry
(0.5br + -1ry) = ry

Solving
0.5br + -1ry = ry

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add 'ry' to each side of the equation.
0.5br + -1ry + ry = ry + ry

Combine like terms: -1ry + ry = 0
0.5br + 0 = ry + ry
0.5br = ry + ry

Combine like terms: ry + ry = 2ry
0.5br = 2ry

Divide each side by '0.5r'.
b = 4y

Simplifying
b = 4y