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Simplifying 8 + -1(4y + -9) = 7 + -5y Reorder the terms: 8 + -1(-9 + 4y) = 7 + -5y 8 + (-9 * -1 + 4y * -1) = 7 + -5y 8 + (9 + -4y) = 7 + -5y Combine like terms: 8 + 9 = 17 17 + -4y = 7 + -5y Solving 17 + -4y = 7 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. 17 + -4y + 5y = 7 + -5y + 5y Combine like terms: -4y + 5y = 1y 17 + 1y = 7 + -5y + 5y Combine like terms: -5y + 5y = 0 17 + 1y = 7 + 0 17 + 1y = 7 Add '-17' to each side of the equation. 17 + -17 + 1y = 7 + -17 Combine like terms: 17 + -17 = 0 0 + 1y = 7 + -17 1y = 7 + -17 Combine like terms: 7 + -17 = -10 1y = -10 Divide each side by '1'. y = -10 Simplifying y = -10
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