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Simplifying -6(y + -9) = 9 + -5y Reorder the terms: -6(-9 + y) = 9 + -5y (-9 * -6 + y * -6) = 9 + -5y (54 + -6y) = 9 + -5y Solving 54 + -6y = 9 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. 54 + -6y + 5y = 9 + -5y + 5y Combine like terms: -6y + 5y = -1y 54 + -1y = 9 + -5y + 5y Combine like terms: -5y + 5y = 0 54 + -1y = 9 + 0 54 + -1y = 9 Add '-54' to each side of the equation. 54 + -54 + -1y = 9 + -54 Combine like terms: 54 + -54 = 0 0 + -1y = 9 + -54 -1y = 9 + -54 Combine like terms: 9 + -54 = -45 -1y = -45 Divide each side by '-1'. y = 45 Simplifying y = 45
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