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Simplifying -5y + -1(5y + -9) = 1 + 2(8 + -1y) Reorder the terms: -5y + -1(-9 + 5y) = 1 + 2(8 + -1y) -5y + (-9 * -1 + 5y * -1) = 1 + 2(8 + -1y) -5y + (9 + -5y) = 1 + 2(8 + -1y) Reorder the terms: 9 + -5y + -5y = 1 + 2(8 + -1y) Combine like terms: -5y + -5y = -10y 9 + -10y = 1 + 2(8 + -1y) 9 + -10y = 1 + (8 * 2 + -1y * 2) 9 + -10y = 1 + (16 + -2y) Combine like terms: 1 + 16 = 17 9 + -10y = 17 + -2y Solving 9 + -10y = 17 + -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. 9 + -10y + 2y = 17 + -2y + 2y Combine like terms: -10y + 2y = -8y 9 + -8y = 17 + -2y + 2y Combine like terms: -2y + 2y = 0 9 + -8y = 17 + 0 9 + -8y = 17 Add '-9' to each side of the equation. 9 + -9 + -8y = 17 + -9 Combine like terms: 9 + -9 = 0 0 + -8y = 17 + -9 -8y = 17 + -9 Combine like terms: 17 + -9 = 8 -8y = 8 Divide each side by '-8'. y = -1 Simplifying y = -1
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