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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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