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Simplifying 9(y + 5) = 7y + 39 Reorder the terms: 9(5 + y) = 7y + 39 (5 * 9 + y * 9) = 7y + 39 (45 + 9y) = 7y + 39 Reorder the terms: 45 + 9y = 39 + 7y Solving 45 + 9y = 39 + 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. 45 + 9y + -7y = 39 + 7y + -7y Combine like terms: 9y + -7y = 2y 45 + 2y = 39 + 7y + -7y Combine like terms: 7y + -7y = 0 45 + 2y = 39 + 0 45 + 2y = 39 Add '-45' to each side of the equation. 45 + -45 + 2y = 39 + -45 Combine like terms: 45 + -45 = 0 0 + 2y = 39 + -45 2y = 39 + -45 Combine like terms: 39 + -45 = -6 2y = -6 Divide each side by '2'. y = -3 Simplifying y = -3
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