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Simplifying 4 + -3[2 + -1(2y + -4)] = 12y + 8 Reorder the terms: 4 + -3[2 + -1(-4 + 2y)] = 12y + 8 4 + -3[2 + (-4 * -1 + 2y * -1)] = 12y + 8 4 + -3[2 + (4 + -2y)] = 12y + 8 Combine like terms: 2 + 4 = 6 4 + -3[6 + -2y] = 12y + 8 4 + [6 * -3 + -2y * -3] = 12y + 8 4 + [-18 + 6y] = 12y + 8 Combine like terms: 4 + -18 = -14 -14 + 6y = 12y + 8 Reorder the terms: -14 + 6y = 8 + 12y Solving -14 + 6y = 8 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. -14 + 6y + -12y = 8 + 12y + -12y Combine like terms: 6y + -12y = -6y -14 + -6y = 8 + 12y + -12y Combine like terms: 12y + -12y = 0 -14 + -6y = 8 + 0 -14 + -6y = 8 Add '14' to each side of the equation. -14 + 14 + -6y = 8 + 14 Combine like terms: -14 + 14 = 0 0 + -6y = 8 + 14 -6y = 8 + 14 Combine like terms: 8 + 14 = 22 -6y = 22 Divide each side by '-6'. y = -3.666666667 Simplifying y = -3.666666667
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