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Simplifying 3(y + 8) + -2(y + -5) = 3(y + -3) Reorder the terms: 3(8 + y) + -2(y + -5) = 3(y + -3) (8 * 3 + y * 3) + -2(y + -5) = 3(y + -3) (24 + 3y) + -2(y + -5) = 3(y + -3) Reorder the terms: 24 + 3y + -2(-5 + y) = 3(y + -3) 24 + 3y + (-5 * -2 + y * -2) = 3(y + -3) 24 + 3y + (10 + -2y) = 3(y + -3) Reorder the terms: 24 + 10 + 3y + -2y = 3(y + -3) Combine like terms: 24 + 10 = 34 34 + 3y + -2y = 3(y + -3) Combine like terms: 3y + -2y = 1y 34 + 1y = 3(y + -3) Reorder the terms: 34 + 1y = 3(-3 + y) 34 + 1y = (-3 * 3 + y * 3) 34 + 1y = (-9 + 3y) Solving 34 + 1y = -9 + 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. 34 + 1y + -3y = -9 + 3y + -3y Combine like terms: 1y + -3y = -2y 34 + -2y = -9 + 3y + -3y Combine like terms: 3y + -3y = 0 34 + -2y = -9 + 0 34 + -2y = -9 Add '-34' to each side of the equation. 34 + -34 + -2y = -9 + -34 Combine like terms: 34 + -34 = 0 0 + -2y = -9 + -34 -2y = -9 + -34 Combine like terms: -9 + -34 = -43 -2y = -43 Divide each side by '-2'. y = 21.5 Simplifying y = 21.5
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