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Simplifying 8(2y + 5) = 9y + 12 Reorder the terms: 8(5 + 2y) = 9y + 12 (5 * 8 + 2y * 8) = 9y + 12 (40 + 16y) = 9y + 12 Reorder the terms: 40 + 16y = 12 + 9y Solving 40 + 16y = 12 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 40 + 16y + -9y = 12 + 9y + -9y Combine like terms: 16y + -9y = 7y 40 + 7y = 12 + 9y + -9y Combine like terms: 9y + -9y = 0 40 + 7y = 12 + 0 40 + 7y = 12 Add '-40' to each side of the equation. 40 + -40 + 7y = 12 + -40 Combine like terms: 40 + -40 = 0 0 + 7y = 12 + -40 7y = 12 + -40 Combine like terms: 12 + -40 = -28 7y = -28 Divide each side by '7'. y = -4 Simplifying y = -4
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