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Simplifying (x + -2)(y + 1) = xy Reorder the terms: (-2 + x)(y + 1) = xy Reorder the terms: (-2 + x)(1 + y) = xy Multiply (-2 + x) * (1 + y) (-2(1 + y) + x(1 + y)) = xy ((1 * -2 + y * -2) + x(1 + y)) = xy ((-2 + -2y) + x(1 + y)) = xy (-2 + -2y + (1 * x + y * x)) = xy (-2 + -2y + (1x + xy)) = xy Reorder the terms: (-2 + 1x + xy + -2y) = xy (-2 + 1x + xy + -2y) = xy Add '-1xy' to each side of the equation. -2 + 1x + xy + -1xy + -2y = xy + -1xy Combine like terms: xy + -1xy = 0 -2 + 1x + 0 + -2y = xy + -1xy -2 + 1x + -2y = xy + -1xy Combine like terms: xy + -1xy = 0 -2 + 1x + -2y = 0 Solving -2 + 1x + -2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 1x + 2 + -2y = 0 + 2 Reorder the terms: -2 + 2 + 1x + -2y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 1x + -2y = 0 + 2 1x + -2y = 0 + 2 Combine like terms: 0 + 2 = 2 1x + -2y = 2 Add '2y' to each side of the equation. 1x + -2y + 2y = 2 + 2y Combine like terms: -2y + 2y = 0 1x + 0 = 2 + 2y 1x = 2 + 2y Divide each side by '1'. x = 2 + 2y Simplifying x = 2 + 2y
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