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Simplifying -3(y + -9) = 6y + -45 Reorder the terms: -3(-9 + y) = 6y + -45 (-9 * -3 + y * -3) = 6y + -45 (27 + -3y) = 6y + -45 Reorder the terms: 27 + -3y = -45 + 6y Solving 27 + -3y = -45 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 27 + -3y + -6y = -45 + 6y + -6y Combine like terms: -3y + -6y = -9y 27 + -9y = -45 + 6y + -6y Combine like terms: 6y + -6y = 0 27 + -9y = -45 + 0 27 + -9y = -45 Add '-27' to each side of the equation. 27 + -27 + -9y = -45 + -27 Combine like terms: 27 + -27 = 0 0 + -9y = -45 + -27 -9y = -45 + -27 Combine like terms: -45 + -27 = -72 -9y = -72 Divide each side by '-9'. y = 8 Simplifying y = 8
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