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Simplifying 5 + -8[7 + -1(3y + -4)] = 0 Reorder the terms: 5 + -8[7 + -1(-4 + 3y)] = 0 5 + -8[7 + (-4 * -1 + 3y * -1)] = 0 5 + -8[7 + (4 + -3y)] = 0 Combine like terms: 7 + 4 = 11 5 + -8[11 + -3y] = 0 5 + [11 * -8 + -3y * -8] = 0 5 + [-88 + 24y] = 0 Combine like terms: 5 + -88 = -83 -83 + 24y = 0 Solving -83 + 24y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '83' to each side of the equation. -83 + 83 + 24y = 0 + 83 Combine like terms: -83 + 83 = 0 0 + 24y = 0 + 83 24y = 0 + 83 Combine like terms: 0 + 83 = 83 24y = 83 Divide each side by '24'. y = 3.458333333 Simplifying y = 3.458333333
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