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Simplifying x(y + -1b) = y(x + -1a) Reorder the terms: x(-1b + y) = y(x + -1a) (-1b * x + y * x) = y(x + -1a) (-1bx + xy) = y(x + -1a) Reorder the terms: -1bx + xy = y(-1a + x) -1bx + xy = (-1a * y + x * y) -1bx + xy = (-1ay + xy) Add '-1xy' to each side of the equation. -1bx + xy + -1xy = -1ay + xy + -1xy Combine like terms: xy + -1xy = 0 -1bx + 0 = -1ay + xy + -1xy -1bx = -1ay + xy + -1xy Combine like terms: xy + -1xy = 0 -1bx = -1ay + 0 -1bx = -1ay Solving -1bx = -1ay Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Divide each side by '-1x'. b = ax-1y Simplifying b = ax-1y
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