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Simplifying 2y + 23 = 9(y + 8) Reorder the terms: 23 + 2y = 9(y + 8) Reorder the terms: 23 + 2y = 9(8 + y) 23 + 2y = (8 * 9 + y * 9) 23 + 2y = (72 + 9y) Solving 23 + 2y = 72 + 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. 23 + 2y + -9y = 72 + 9y + -9y Combine like terms: 2y + -9y = -7y 23 + -7y = 72 + 9y + -9y Combine like terms: 9y + -9y = 0 23 + -7y = 72 + 0 23 + -7y = 72 Add '-23' to each side of the equation. 23 + -23 + -7y = 72 + -23 Combine like terms: 23 + -23 = 0 0 + -7y = 72 + -23 -7y = 72 + -23 Combine like terms: 72 + -23 = 49 -7y = 49 Divide each side by '-7'. y = -7 Simplifying y = -7
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