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Simplifying 3(2 + -4(y + -1)) = 2(3y + 4) Reorder the terms: 3(2 + -4(-1 + y)) = 2(3y + 4) 3(2 + (-1 * -4 + y * -4)) = 2(3y + 4) 3(2 + (4 + -4y)) = 2(3y + 4) Combine like terms: 2 + 4 = 6 3(6 + -4y) = 2(3y + 4) (6 * 3 + -4y * 3) = 2(3y + 4) (18 + -12y) = 2(3y + 4) Reorder the terms: 18 + -12y = 2(4 + 3y) 18 + -12y = (4 * 2 + 3y * 2) 18 + -12y = (8 + 6y) Solving 18 + -12y = 8 + 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 = 8 + 6y + -6y Combine like terms: -12y + -6y = -18y 18 + -18y = 8 + 6y + -6y Combine like terms: 6y + -6y = 0 18 + -18y = 8 + 0 18 + -18y = 8 Add '-18' to each side of the equation. 18 + -18 + -18y = 8 + -18 Combine like terms: 18 + -18 = 0 0 + -18y = 8 + -18 -18y = 8 + -18 Combine like terms: 8 + -18 = -10 -18y = -10 Divide each side by '-18'. y = 0.5555555556 Simplifying y = 0.5555555556
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