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Simplifying (y + 1) + -1(y + -9) = 2(5y + -6) + -8y Reorder the terms: (1 + y) + -1(y + -9) = 2(5y + -6) + -8y Remove parenthesis around (1 + y) 1 + y + -1(y + -9) = 2(5y + -6) + -8y Reorder the terms: 1 + y + -1(-9 + y) = 2(5y + -6) + -8y 1 + y + (-9 * -1 + y * -1) = 2(5y + -6) + -8y 1 + y + (9 + -1y) = 2(5y + -6) + -8y Reorder the terms: 1 + 9 + y + -1y = 2(5y + -6) + -8y Combine like terms: 1 + 9 = 10 10 + y + -1y = 2(5y + -6) + -8y Combine like terms: y + -1y = 0 10 + 0 = 2(5y + -6) + -8y 10 = 2(5y + -6) + -8y Reorder the terms: 10 = 2(-6 + 5y) + -8y 10 = (-6 * 2 + 5y * 2) + -8y 10 = (-12 + 10y) + -8y Combine like terms: 10y + -8y = 2y 10 = -12 + 2y Solving 10 = -12 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 10 + -2y = -12 + 2y + -2y Combine like terms: 2y + -2y = 0 10 + -2y = -12 + 0 10 + -2y = -12 Add '-10' to each side of the equation. 10 + -10 + -2y = -12 + -10 Combine like terms: 10 + -10 = 0 0 + -2y = -12 + -10 -2y = -12 + -10 Combine like terms: -12 + -10 = -22 -2y = -22 Divide each side by '-2'. y = 11 Simplifying y = 11
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