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Simplifying 9(y + -3) = 2(4y + 7) + -41 Reorder the terms: 9(-3 + y) = 2(4y + 7) + -41 (-3 * 9 + y * 9) = 2(4y + 7) + -41 (-27 + 9y) = 2(4y + 7) + -41 Reorder the terms: -27 + 9y = 2(7 + 4y) + -41 -27 + 9y = (7 * 2 + 4y * 2) + -41 -27 + 9y = (14 + 8y) + -41 Reorder the terms: -27 + 9y = 14 + -41 + 8y Combine like terms: 14 + -41 = -27 -27 + 9y = -27 + 8y Add '27' to each side of the equation. -27 + 27 + 9y = -27 + 27 + 8y Combine like terms: -27 + 27 = 0 0 + 9y = -27 + 27 + 8y 9y = -27 + 27 + 8y Combine like terms: -27 + 27 = 0 9y = 0 + 8y 9y = 8y Solving 9y = 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. 9y + -8y = 8y + -8y Combine like terms: 9y + -8y = 1y 1y = 8y + -8y Combine like terms: 8y + -8y = 0 1y = 0 Divide each side by '1'. y = 0 Simplifying y = 0
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