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Simplifying -2[1 + -1(y + 7)] + -4 = 4(5 + y) Reorder the terms: -2[1 + -1(7 + y)] + -4 = 4(5 + y) -2[1 + (7 * -1 + y * -1)] + -4 = 4(5 + y) -2[1 + (-7 + -1y)] + -4 = 4(5 + y) Combine like terms: 1 + -7 = -6 -2[-6 + -1y] + -4 = 4(5 + y) [-6 * -2 + -1y * -2] + -4 = 4(5 + y) [12 + 2y] + -4 = 4(5 + y) Reorder the terms: 12 + -4 + 2y = 4(5 + y) Combine like terms: 12 + -4 = 8 8 + 2y = 4(5 + y) 8 + 2y = (5 * 4 + y * 4) 8 + 2y = (20 + 4y) Solving 8 + 2y = 20 + 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. 8 + 2y + -4y = 20 + 4y + -4y Combine like terms: 2y + -4y = -2y 8 + -2y = 20 + 4y + -4y Combine like terms: 4y + -4y = 0 8 + -2y = 20 + 0 8 + -2y = 20 Add '-8' to each side of the equation. 8 + -8 + -2y = 20 + -8 Combine like terms: 8 + -8 = 0 0 + -2y = 20 + -8 -2y = 20 + -8 Combine like terms: 20 + -8 = 12 -2y = 12 Divide each side by '-2'. y = -6 Simplifying y = -6
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