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Simplifying 3(y + 3) = -6(3y + -2) + 9y Reorder the terms: 3(3 + y) = -6(3y + -2) + 9y (3 * 3 + y * 3) = -6(3y + -2) + 9y (9 + 3y) = -6(3y + -2) + 9y Reorder the terms: 9 + 3y = -6(-2 + 3y) + 9y 9 + 3y = (-2 * -6 + 3y * -6) + 9y 9 + 3y = (12 + -18y) + 9y Combine like terms: -18y + 9y = -9y 9 + 3y = 12 + -9y Solving 9 + 3y = 12 + -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. 9 + 3y + 9y = 12 + -9y + 9y Combine like terms: 3y + 9y = 12y 9 + 12y = 12 + -9y + 9y Combine like terms: -9y + 9y = 0 9 + 12y = 12 + 0 9 + 12y = 12 Add '-9' to each side of the equation. 9 + -9 + 12y = 12 + -9 Combine like terms: 9 + -9 = 0 0 + 12y = 12 + -9 12y = 12 + -9 Combine like terms: 12 + -9 = 3 12y = 3 Divide each side by '12'. y = 0.25 Simplifying y = 0.25
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