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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 = 34 1y = 34 Divide each side by '1'. y = 34 Simplifying y = 34
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