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Simplifying 3[2 + -4(y + -1)] = 3(2y + 4) Reorder the terms: 3[2 + -4(-1 + y)] = 3(2y + 4) 3[2 + (-1 * -4 + y * -4)] = 3(2y + 4) 3[2 + (4 + -4y)] = 3(2y + 4) Combine like terms: 2 + 4 = 6 3[6 + -4y] = 3(2y + 4) [6 * 3 + -4y * 3] = 3(2y + 4) [18 + -12y] = 3(2y + 4) Reorder the terms: 18 + -12y = 3(4 + 2y) 18 + -12y = (4 * 3 + 2y * 3) 18 + -12y = (12 + 6y) Solving 18 + -12y = 12 + 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 = 12 + 6y + -6y Combine like terms: -12y + -6y = -18y 18 + -18y = 12 + 6y + -6y Combine like terms: 6y + -6y = 0 18 + -18y = 12 + 0 18 + -18y = 12 Add '-18' to each side of the equation. 18 + -18 + -18y = 12 + -18 Combine like terms: 18 + -18 = 0 0 + -18y = 12 + -18 -18y = 12 + -18 Combine like terms: 12 + -18 = -6 -18y = -6 Divide each side by '-18'. y = 0.3333333333 Simplifying y = 0.3333333333
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