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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 = 48 6y = 48 Divide each side by '6'. y = 8 Simplifying y = 8
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