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Simplifying 3[2 + -4(y + -1)] = 3(y + 8) Reorder the terms: 3[2 + -4(-1 + y)] = 3(y + 8) 3[2 + (-1 * -4 + y * -4)] = 3(y + 8) 3[2 + (4 + -4y)] = 3(y + 8) Combine like terms: 2 + 4 = 6 3[6 + -4y] = 3(y + 8) [6 * 3 + -4y * 3] = 3(y + 8) [18 + -12y] = 3(y + 8) Reorder the terms: 18 + -12y = 3(8 + y) 18 + -12y = (8 * 3 + y * 3) 18 + -12y = (24 + 3y) Solving 18 + -12y = 24 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 18 + -12y + -3y = 24 + 3y + -3y Combine like terms: -12y + -3y = -15y 18 + -15y = 24 + 3y + -3y Combine like terms: 3y + -3y = 0 18 + -15y = 24 + 0 18 + -15y = 24 Add '-18' to each side of the equation. 18 + -18 + -15y = 24 + -18 Combine like terms: 18 + -18 = 0 0 + -15y = 24 + -18 -15y = 24 + -18 Combine like terms: 24 + -18 = 6 -15y = 6 Divide each side by '-15'. y = -0.4 Simplifying y = -0.4
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