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Simplifying (x + y) * 2 + -1(x + -1y) * 2 = 0 Reorder the terms for easier multiplication: 2(x + y) + -1(x + -1y) * 2 = 0 (x * 2 + y * 2) + -1(x + -1y) * 2 = 0 (2x + 2y) + -1(x + -1y) * 2 = 0 Reorder the terms for easier multiplication: 2x + 2y + -1 * 2(x + -1y) = 0 Multiply -1 * 2 2x + 2y + -2(x + -1y) = 0 2x + 2y + (x * -2 + -1y * -2) = 0 2x + 2y + (-2x + 2y) = 0 Reorder the terms: 2x + -2x + 2y + 2y = 0 Combine like terms: 2x + -2x = 0 0 + 2y + 2y = 0 2y + 2y = 0 Combine like terms: 2y + 2y = 4y 4y = 0 Solving 4y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Divide each side by '4'. y = 0 Simplifying y = 0
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