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Simplifying 4(y + 8) + -3(y + 5) = -3(y + 1) Reorder the terms: 4(8 + y) + -3(y + 5) = -3(y + 1) (8 * 4 + y * 4) + -3(y + 5) = -3(y + 1) (32 + 4y) + -3(y + 5) = -3(y + 1) Reorder the terms: 32 + 4y + -3(5 + y) = -3(y + 1) 32 + 4y + (5 * -3 + y * -3) = -3(y + 1) 32 + 4y + (-15 + -3y) = -3(y + 1) Reorder the terms: 32 + -15 + 4y + -3y = -3(y + 1) Combine like terms: 32 + -15 = 17 17 + 4y + -3y = -3(y + 1) Combine like terms: 4y + -3y = 1y 17 + 1y = -3(y + 1) Reorder the terms: 17 + 1y = -3(1 + y) 17 + 1y = (1 * -3 + y * -3) 17 + 1y = (-3 + -3y) Solving 17 + 1y = -3 + -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 + 1y + 3y = -3 + -3y + 3y Combine like terms: 1y + 3y = 4y 17 + 4y = -3 + -3y + 3y Combine like terms: -3y + 3y = 0 17 + 4y = -3 + 0 17 + 4y = -3 Add '-17' to each side of the equation. 17 + -17 + 4y = -3 + -17 Combine like terms: 17 + -17 = 0 0 + 4y = -3 + -17 4y = -3 + -17 Combine like terms: -3 + -17 = -20 4y = -20 Divide each side by '4'. y = -5 Simplifying y = -5
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