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