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Simplifying (y + 1) + -1(y + -9) = 7(5 + -6) + -8y Reorder the terms: (1 + y) + -1(y + -9) = 7(5 + -6) + -8y Remove parenthesis around (1 + y) 1 + y + -1(y + -9) = 7(5 + -6) + -8y Reorder the terms: 1 + y + -1(-9 + y) = 7(5 + -6) + -8y 1 + y + (-9 * -1 + y * -1) = 7(5 + -6) + -8y 1 + y + (9 + -1y) = 7(5 + -6) + -8y Reorder the terms: 1 + 9 + y + -1y = 7(5 + -6) + -8y Combine like terms: 1 + 9 = 10 10 + y + -1y = 7(5 + -6) + -8y Combine like terms: y + -1y = 0 10 + 0 = 7(5 + -6) + -8y 10 = 7(5 + -6) + -8y Combine like terms: 5 + -6 = -1 10 = 7(-1) + -8y Multiply 7 * -1 10 = -7 + -8y Solving 10 = -7 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 10 + 8y = -7 + -8y + 8y Combine like terms: -8y + 8y = 0 10 + 8y = -7 + 0 10 + 8y = -7 Add '-10' to each side of the equation. 10 + -10 + 8y = -7 + -10 Combine like terms: 10 + -10 = 0 0 + 8y = -7 + -10 8y = -7 + -10 Combine like terms: -7 + -10 = -17 8y = -17 Divide each side by '8'. y = -2.125 Simplifying y = -2.125
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