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Simplifying -8[(4y + 8) + -1(3y + -3)] = 6(4 + -1y) + -4 Reorder the terms: -8[(8 + 4y) + -1(3y + -3)] = 6(4 + -1y) + -4 Remove parenthesis around (8 + 4y) -8[8 + 4y + -1(3y + -3)] = 6(4 + -1y) + -4 Reorder the terms: -8[8 + 4y + -1(-3 + 3y)] = 6(4 + -1y) + -4 -8[8 + 4y + (-3 * -1 + 3y * -1)] = 6(4 + -1y) + -4 -8[8 + 4y + (3 + -3y)] = 6(4 + -1y) + -4 Reorder the terms: -8[8 + 3 + 4y + -3y] = 6(4 + -1y) + -4 Combine like terms: 8 + 3 = 11 -8[11 + 4y + -3y] = 6(4 + -1y) + -4 Combine like terms: 4y + -3y = 1y -8[11 + 1y] = 6(4 + -1y) + -4 [11 * -8 + 1y * -8] = 6(4 + -1y) + -4 [-88 + -8y] = 6(4 + -1y) + -4 -88 + -8y = (4 * 6 + -1y * 6) + -4 -88 + -8y = (24 + -6y) + -4 Reorder the terms: -88 + -8y = 24 + -4 + -6y Combine like terms: 24 + -4 = 20 -88 + -8y = 20 + -6y Solving -88 + -8y = 20 + -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. -88 + -8y + 6y = 20 + -6y + 6y Combine like terms: -8y + 6y = -2y -88 + -2y = 20 + -6y + 6y Combine like terms: -6y + 6y = 0 -88 + -2y = 20 + 0 -88 + -2y = 20 Add '88' to each side of the equation. -88 + 88 + -2y = 20 + 88 Combine like terms: -88 + 88 = 0 0 + -2y = 20 + 88 -2y = 20 + 88 Combine like terms: 20 + 88 = 108 -2y = 108 Divide each side by '-2'. y = -54 Simplifying y = -54
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