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Simplifying 9(y + 2) = 7(y + 4) Reorder the terms: 9(2 + y) = 7(y + 4) (2 * 9 + y * 9) = 7(y + 4) (18 + 9y) = 7(y + 4) Reorder the terms: 18 + 9y = 7(4 + y) 18 + 9y = (4 * 7 + y * 7) 18 + 9y = (28 + 7y) Solving 18 + 9y = 28 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 18 + 9y + -7y = 28 + 7y + -7y Combine like terms: 9y + -7y = 2y 18 + 2y = 28 + 7y + -7y Combine like terms: 7y + -7y = 0 18 + 2y = 28 + 0 18 + 2y = 28 Add '-18' to each side of the equation. 18 + -18 + 2y = 28 + -18 Combine like terms: 18 + -18 = 0 0 + 2y = 28 + -18 2y = 28 + -18 Combine like terms: 28 + -18 = 10 2y = 10 Divide each side by '2'. y = 5 Simplifying y = 5
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