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Simplifying -5(y + -9) = 27 + -7y Reorder the terms: -5(-9 + y) = 27 + -7y (-9 * -5 + y * -5) = 27 + -7y (45 + -5y) = 27 + -7y Solving 45 + -5y = 27 + -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 + -5y + 7y = 27 + -7y + 7y Combine like terms: -5y + 7y = 2y 45 + 2y = 27 + -7y + 7y Combine like terms: -7y + 7y = 0 45 + 2y = 27 + 0 45 + 2y = 27 Add '-45' to each side of the equation. 45 + -45 + 2y = 27 + -45 Combine like terms: 45 + -45 = 0 0 + 2y = 27 + -45 2y = 27 + -45 Combine like terms: 27 + -45 = -18 2y = -18 Divide each side by '2'. y = -9 Simplifying y = -9
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