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Simplifying 2y + 3 = 2(12 + -8y) Reorder the terms: 3 + 2y = 2(12 + -8y) 3 + 2y = (12 * 2 + -8y * 2) 3 + 2y = (24 + -16y) Solving 3 + 2y = 24 + -16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '16y' to each side of the equation. 3 + 2y + 16y = 24 + -16y + 16y Combine like terms: 2y + 16y = 18y 3 + 18y = 24 + -16y + 16y Combine like terms: -16y + 16y = 0 3 + 18y = 24 + 0 3 + 18y = 24 Add '-3' to each side of the equation. 3 + -3 + 18y = 24 + -3 Combine like terms: 3 + -3 = 0 0 + 18y = 24 + -3 18y = 24 + -3 Combine like terms: 24 + -3 = 21 18y = 21 Divide each side by '18'. y = 1.166666667 Simplifying y = 1.166666667
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