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Simplifying 8 + -1(2y + -9) = 2 + -3y Reorder the terms: 8 + -1(-9 + 2y) = 2 + -3y 8 + (-9 * -1 + 2y * -1) = 2 + -3y 8 + (9 + -2y) = 2 + -3y Combine like terms: 8 + 9 = 17 17 + -2y = 2 + -3y Solving 17 + -2y = 2 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 17 + -2y + 3y = 2 + -3y + 3y Combine like terms: -2y + 3y = 1y 17 + 1y = 2 + -3y + 3y Combine like terms: -3y + 3y = 0 17 + 1y = 2 + 0 17 + 1y = 2 Add '-17' to each side of the equation. 17 + -17 + 1y = 2 + -17 Combine like terms: 17 + -17 = 0 0 + 1y = 2 + -17 1y = 2 + -17 Combine like terms: 2 + -17 = -15 1y = -15 Divide each side by '1'. y = -15 Simplifying y = -15
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