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Simplifying 3(5y + 8) + y = -2(y + -3) Reorder the terms: 3(8 + 5y) + y = -2(y + -3) (8 * 3 + 5y * 3) + y = -2(y + -3) (24 + 15y) + y = -2(y + -3) Combine like terms: 15y + y = 16y 24 + 16y = -2(y + -3) Reorder the terms: 24 + 16y = -2(-3 + y) 24 + 16y = (-3 * -2 + y * -2) 24 + 16y = (6 + -2y) Solving 24 + 16y = 6 + -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. 24 + 16y + 2y = 6 + -2y + 2y Combine like terms: 16y + 2y = 18y 24 + 18y = 6 + -2y + 2y Combine like terms: -2y + 2y = 0 24 + 18y = 6 + 0 24 + 18y = 6 Add '-24' to each side of the equation. 24 + -24 + 18y = 6 + -24 Combine like terms: 24 + -24 = 0 0 + 18y = 6 + -24 18y = 6 + -24 Combine like terms: 6 + -24 = -18 18y = -18 Divide each side by '18'. y = -1 Simplifying y = -1
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