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Simplifying 3(y + 6) = -9y Reorder the terms: 3(6 + y) = -9y (6 * 3 + y * 3) = -9y (18 + 3y) = -9y Solving 18 + 3y = -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. 18 + 3y + 9y = -9y + 9y Combine like terms: 3y + 9y = 12y 18 + 12y = -9y + 9y Combine like terms: -9y + 9y = 0 18 + 12y = 0 Add '-18' to each side of the equation. 18 + -18 + 12y = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 12y = 0 + -18 12y = 0 + -18 Combine like terms: 0 + -18 = -18 12y = -18 Divide each side by '12'. y = -1.5 Simplifying y = -1.5
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