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Simplifying 3(2 + -4(y + -1)) = 3(2y + 8) Reorder the terms: 3(2 + -4(-1 + y)) = 3(2y + 8) 3(2 + (-1 * -4 + y * -4)) = 3(2y + 8) 3(2 + (4 + -4y)) = 3(2y + 8) Combine like terms: 2 + 4 = 6 3(6 + -4y) = 3(2y + 8) (6 * 3 + -4y * 3) = 3(2y + 8) (18 + -12y) = 3(2y + 8) Reorder the terms: 18 + -12y = 3(8 + 2y) 18 + -12y = (8 * 3 + 2y * 3) 18 + -12y = (24 + 6y) Solving 18 + -12y = 24 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 18 + -12y + -6y = 24 + 6y + -6y Combine like terms: -12y + -6y = -18y 18 + -18y = 24 + 6y + -6y Combine like terms: 6y + -6y = 0 18 + -18y = 24 + 0 18 + -18y = 24 Add '-18' to each side of the equation. 18 + -18 + -18y = 24 + -18 Combine like terms: 18 + -18 = 0 0 + -18y = 24 + -18 -18y = 24 + -18 Combine like terms: 24 + -18 = 6 -18y = 6 Divide each side by '-18'. y = -0.3333333333 Simplifying y = -0.3333333333
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