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Simplifying 8 + -3[5 + -1(8y + -4)] = 0 Reorder the terms: 8 + -3[5 + -1(-4 + 8y)] = 0 8 + -3[5 + (-4 * -1 + 8y * -1)] = 0 8 + -3[5 + (4 + -8y)] = 0 Combine like terms: 5 + 4 = 9 8 + -3[9 + -8y] = 0 8 + [9 * -3 + -8y * -3] = 0 8 + [-27 + 24y] = 0 Combine like terms: 8 + -27 = -19 -19 + 24y = 0 Solving -19 + 24y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 24y = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 24y = 0 + 19 24y = 0 + 19 Combine like terms: 0 + 19 = 19 24y = 19 Divide each side by '24'. y = 0.7916666667 Simplifying y = 0.7916666667
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