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Simplifying 3(y + 5) + -1(4y + -8) = -2(y + 5) Reorder the terms: 3(5 + y) + -1(4y + -8) = -2(y + 5) (5 * 3 + y * 3) + -1(4y + -8) = -2(y + 5) (15 + 3y) + -1(4y + -8) = -2(y + 5) Reorder the terms: 15 + 3y + -1(-8 + 4y) = -2(y + 5) 15 + 3y + (-8 * -1 + 4y * -1) = -2(y + 5) 15 + 3y + (8 + -4y) = -2(y + 5) Reorder the terms: 15 + 8 + 3y + -4y = -2(y + 5) Combine like terms: 15 + 8 = 23 23 + 3y + -4y = -2(y + 5) Combine like terms: 3y + -4y = -1y 23 + -1y = -2(y + 5) Reorder the terms: 23 + -1y = -2(5 + y) 23 + -1y = (5 * -2 + y * -2) 23 + -1y = (-10 + -2y) Solving 23 + -1y = -10 + -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. 23 + -1y + 2y = -10 + -2y + 2y Combine like terms: -1y + 2y = 1y 23 + 1y = -10 + -2y + 2y Combine like terms: -2y + 2y = 0 23 + 1y = -10 + 0 23 + 1y = -10 Add '-23' to each side of the equation. 23 + -23 + 1y = -10 + -23 Combine like terms: 23 + -23 = 0 0 + 1y = -10 + -23 1y = -10 + -23 Combine like terms: -10 + -23 = -33 1y = -33 Divide each side by '1'. y = -33 Simplifying y = -33
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