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Simplifying 3(y + 9) = -9y + -45 Reorder the terms: 3(9 + y) = -9y + -45 (9 * 3 + y * 3) = -9y + -45 (27 + 3y) = -9y + -45 Reorder the terms: 27 + 3y = -45 + -9y Solving 27 + 3y = -45 + -9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9y' to each side of the equation. 27 + 3y + 9y = -45 + -9y + 9y Combine like terms: 3y + 9y = 12y 27 + 12y = -45 + -9y + 9y Combine like terms: -9y + 9y = 0 27 + 12y = -45 + 0 27 + 12y = -45 Add '-27' to each side of the equation. 27 + -27 + 12y = -45 + -27 Combine like terms: 27 + -27 = 0 0 + 12y = -45 + -27 12y = -45 + -27 Combine like terms: -45 + -27 = -72 12y = -72 Divide each side by '12'. y = -6 Simplifying y = -6
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