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Simplifying 7 + (5 + y) = 10 + -1(-2 + y) Remove parenthesis around (5 + y) 7 + 5 + y = 10 + -1(-2 + y) Combine like terms: 7 + 5 = 12 12 + y = 10 + -1(-2 + y) 12 + y = 10 + (-2 * -1 + y * -1) 12 + y = 10 + (2 + -1y) Combine like terms: 10 + 2 = 12 12 + y = 12 + -1y Add '-12' to each side of the equation. 12 + -12 + y = 12 + -12 + -1y Combine like terms: 12 + -12 = 0 0 + y = 12 + -12 + -1y y = 12 + -12 + -1y Combine like terms: 12 + -12 = 0 y = 0 + -1y y = -1y Solving y = -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. y + y = -1y + y Combine like terms: y + y = 2y 2y = -1y + y Combine like terms: -1y + y = 0 2y = 0 Divide each side by '2'. y = 0 Simplifying y = 0
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