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Simplifying 7y + -1(2y + -9) = 39 + -1y Reorder the terms: 7y + -1(-9 + 2y) = 39 + -1y 7y + (-9 * -1 + 2y * -1) = 39 + -1y 7y + (9 + -2y) = 39 + -1y Reorder the terms: 9 + 7y + -2y = 39 + -1y Combine like terms: 7y + -2y = 5y 9 + 5y = 39 + -1y Solving 9 + 5y = 39 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. 9 + 5y + y = 39 + -1y + y Combine like terms: 5y + y = 6y 9 + 6y = 39 + -1y + y Combine like terms: -1y + y = 0 9 + 6y = 39 + 0 9 + 6y = 39 Add '-9' to each side of the equation. 9 + -9 + 6y = 39 + -9 Combine like terms: 9 + -9 = 0 0 + 6y = 39 + -9 6y = 39 + -9 Combine like terms: 39 + -9 = 30 6y = 30 Divide each side by '6'. y = 5 Simplifying y = 5
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