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Simplifying 3y + 9 + -1(y + -5) = -2(y + 8) Reorder the terms: 3y + 9 + -1(-5 + y) = -2(y + 8) 3y + 9 + (-5 * -1 + y * -1) = -2(y + 8) 3y + 9 + (5 + -1y) = -2(y + 8) Reorder the terms: 9 + 5 + 3y + -1y = -2(y + 8) Combine like terms: 9 + 5 = 14 14 + 3y + -1y = -2(y + 8) Combine like terms: 3y + -1y = 2y 14 + 2y = -2(y + 8) Reorder the terms: 14 + 2y = -2(8 + y) 14 + 2y = (8 * -2 + y * -2) 14 + 2y = (-16 + -2y) Solving 14 + 2y = -16 + -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. 14 + 2y + 2y = -16 + -2y + 2y Combine like terms: 2y + 2y = 4y 14 + 4y = -16 + -2y + 2y Combine like terms: -2y + 2y = 0 14 + 4y = -16 + 0 14 + 4y = -16 Add '-14' to each side of the equation. 14 + -14 + 4y = -16 + -14 Combine like terms: 14 + -14 = 0 0 + 4y = -16 + -14 4y = -16 + -14 Combine like terms: -16 + -14 = -30 4y = -30 Divide each side by '4'. y = -7.5 Simplifying y = -7.5
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