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Simplifying -9(y + -3) = 7 + -8y Reorder the terms: -9(-3 + y) = 7 + -8y (-3 * -9 + y * -9) = 7 + -8y (27 + -9y) = 7 + -8y Solving 27 + -9y = 7 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 27 + -9y + 8y = 7 + -8y + 8y Combine like terms: -9y + 8y = -1y 27 + -1y = 7 + -8y + 8y Combine like terms: -8y + 8y = 0 27 + -1y = 7 + 0 27 + -1y = 7 Add '-27' to each side of the equation. 27 + -27 + -1y = 7 + -27 Combine like terms: 27 + -27 = 0 0 + -1y = 7 + -27 -1y = 7 + -27 Combine like terms: 7 + -27 = -20 -1y = -20 Divide each side by '-1'. y = 20 Simplifying y = 20
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