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Simplifying 3(2y + 1) = -3(y + -1) + -27 Reorder the terms: 3(1 + 2y) = -3(y + -1) + -27 (1 * 3 + 2y * 3) = -3(y + -1) + -27 (3 + 6y) = -3(y + -1) + -27 Reorder the terms: 3 + 6y = -3(-1 + y) + -27 3 + 6y = (-1 * -3 + y * -3) + -27 3 + 6y = (3 + -3y) + -27 Reorder the terms: 3 + 6y = 3 + -27 + -3y Combine like terms: 3 + -27 = -24 3 + 6y = -24 + -3y Solving 3 + 6y = -24 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 3 + 6y + 3y = -24 + -3y + 3y Combine like terms: 6y + 3y = 9y 3 + 9y = -24 + -3y + 3y Combine like terms: -3y + 3y = 0 3 + 9y = -24 + 0 3 + 9y = -24 Add '-3' to each side of the equation. 3 + -3 + 9y = -24 + -3 Combine like terms: 3 + -3 = 0 0 + 9y = -24 + -3 9y = -24 + -3 Combine like terms: -24 + -3 = -27 9y = -27 Divide each side by '9'. y = -3 Simplifying y = -3
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