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Simplifying 2[2 + -4(y + -1)] = 2(2y + 9) Reorder the terms: 2[2 + -4(-1 + y)] = 2(2y + 9) 2[2 + (-1 * -4 + y * -4)] = 2(2y + 9) 2[2 + (4 + -4y)] = 2(2y + 9) Combine like terms: 2 + 4 = 6 2[6 + -4y] = 2(2y + 9) [6 * 2 + -4y * 2] = 2(2y + 9) [12 + -8y] = 2(2y + 9) Reorder the terms: 12 + -8y = 2(9 + 2y) 12 + -8y = (9 * 2 + 2y * 2) 12 + -8y = (18 + 4y) Solving 12 + -8y = 18 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 12 + -8y + -4y = 18 + 4y + -4y Combine like terms: -8y + -4y = -12y 12 + -12y = 18 + 4y + -4y Combine like terms: 4y + -4y = 0 12 + -12y = 18 + 0 12 + -12y = 18 Add '-12' to each side of the equation. 12 + -12 + -12y = 18 + -12 Combine like terms: 12 + -12 = 0 0 + -12y = 18 + -12 -12y = 18 + -12 Combine like terms: 18 + -12 = 6 -12y = 6 Divide each side by '-12'. y = -0.5 Simplifying y = -0.5
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