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