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Simplifying 12(3 + y) = 3(3k + -9) (3 * 12 + y * 12) = 3(3k + -9) (36 + 12y) = 3(3k + -9) Reorder the terms: 36 + 12y = 3(-9 + 3k) 36 + 12y = (-9 * 3 + 3k * 3) 36 + 12y = (-27 + 9k) Solving 36 + 12y = -27 + 9k Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 12y = -27 + -36 + 9k Combine like terms: 36 + -36 = 0 0 + 12y = -27 + -36 + 9k 12y = -27 + -36 + 9k Combine like terms: -27 + -36 = -63 12y = -63 + 9k Divide each side by '12'. y = -5.25 + 0.75k Simplifying y = -5.25 + 0.75k
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