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