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Simplifying 9(3y + 5) = 17 + 7y Reorder the terms: 9(5 + 3y) = 17 + 7y (5 * 9 + 3y * 9) = 17 + 7y (45 + 27y) = 17 + 7y Solving 45 + 27y = 17 + 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 + 27y + -7y = 17 + 7y + -7y Combine like terms: 27y + -7y = 20y 45 + 20y = 17 + 7y + -7y Combine like terms: 7y + -7y = 0 45 + 20y = 17 + 0 45 + 20y = 17 Add '-45' to each side of the equation. 45 + -45 + 20y = 17 + -45 Combine like terms: 45 + -45 = 0 0 + 20y = 17 + -45 20y = 17 + -45 Combine like terms: 17 + -45 = -28 20y = -28 Divide each side by '20'. y = -1.4 Simplifying y = -1.4
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