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Simplifying 8 + -1(3y + -9) = 1 + -4y Reorder the terms: 8 + -1(-9 + 3y) = 1 + -4y 8 + (-9 * -1 + 3y * -1) = 1 + -4y 8 + (9 + -3y) = 1 + -4y Combine like terms: 8 + 9 = 17 17 + -3y = 1 + -4y Solving 17 + -3y = 1 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 17 + -3y + 4y = 1 + -4y + 4y Combine like terms: -3y + 4y = 1y 17 + 1y = 1 + -4y + 4y Combine like terms: -4y + 4y = 0 17 + 1y = 1 + 0 17 + 1y = 1 Add '-17' to each side of the equation. 17 + -17 + 1y = 1 + -17 Combine like terms: 17 + -17 = 0 0 + 1y = 1 + -17 1y = 1 + -17 Combine like terms: 1 + -17 = -16 1y = -16 Divide each side by '1'. y = -16 Simplifying y = -16
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