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Simplifying 3(4 + -2y) + 2(1 + 6y) = 12 (4 * 3 + -2y * 3) + 2(1 + 6y) = 12 (12 + -6y) + 2(1 + 6y) = 12 12 + -6y + (1 * 2 + 6y * 2) = 12 12 + -6y + (2 + 12y) = 12 Reorder the terms: 12 + 2 + -6y + 12y = 12 Combine like terms: 12 + 2 = 14 14 + -6y + 12y = 12 Combine like terms: -6y + 12y = 6y 14 + 6y = 12 Solving 14 + 6y = 12 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 6y = 12 + -14 Combine like terms: 14 + -14 = 0 0 + 6y = 12 + -14 6y = 12 + -14 Combine like terms: 12 + -14 = -2 6y = -2 Divide each side by '6'. y = -0.3333333333 Simplifying y = -0.3333333333
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