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Simplifying 2(y + 8) = -3(y + 3) Reorder the terms: 2(8 + y) = -3(y + 3) (8 * 2 + y * 2) = -3(y + 3) (16 + 2y) = -3(y + 3) Reorder the terms: 16 + 2y = -3(3 + y) 16 + 2y = (3 * -3 + y * -3) 16 + 2y = (-9 + -3y) Solving 16 + 2y = -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. 16 + 2y + 3y = -9 + -3y + 3y Combine like terms: 2y + 3y = 5y 16 + 5y = -9 + -3y + 3y Combine like terms: -3y + 3y = 0 16 + 5y = -9 + 0 16 + 5y = -9 Add '-16' to each side of the equation. 16 + -16 + 5y = -9 + -16 Combine like terms: 16 + -16 = 0 0 + 5y = -9 + -16 5y = -9 + -16 Combine like terms: -9 + -16 = -25 5y = -25 Divide each side by '5'. y = -5 Simplifying y = -5
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