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Simplifying 3[2 + -4(4y + -1)] = 3(2y + 8) Reorder the terms: 3[2 + -4(-1 + 4y)] = 3(2y + 8) 3[2 + (-1 * -4 + 4y * -4)] = 3(2y + 8) 3[2 + (4 + -16y)] = 3(2y + 8) Combine like terms: 2 + 4 = 6 3[6 + -16y] = 3(2y + 8) [6 * 3 + -16y * 3] = 3(2y + 8) [18 + -48y] = 3(2y + 8) Reorder the terms: 18 + -48y = 3(8 + 2y) 18 + -48y = (8 * 3 + 2y * 3) 18 + -48y = (24 + 6y) Solving 18 + -48y = 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 + -48y + -6y = 24 + 6y + -6y Combine like terms: -48y + -6y = -54y 18 + -54y = 24 + 6y + -6y Combine like terms: 6y + -6y = 0 18 + -54y = 24 + 0 18 + -54y = 24 Add '-18' to each side of the equation. 18 + -18 + -54y = 24 + -18 Combine like terms: 18 + -18 = 0 0 + -54y = 24 + -18 -54y = 24 + -18 Combine like terms: 24 + -18 = 6 -54y = 6 Divide each side by '-54'. y = -0.1111111111 Simplifying y = -0.1111111111
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