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Simplifying 4 + -5[8 + -1(3y + -2)] = 0 Reorder the terms: 4 + -5[8 + -1(-2 + 3y)] = 0 4 + -5[8 + (-2 * -1 + 3y * -1)] = 0 4 + -5[8 + (2 + -3y)] = 0 Combine like terms: 8 + 2 = 10 4 + -5[10 + -3y] = 0 4 + [10 * -5 + -3y * -5] = 0 4 + [-50 + 15y] = 0 Combine like terms: 4 + -50 = -46 -46 + 15y = 0 Solving -46 + 15y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 46 + 15y = 0 + 46 Combine like terms: -46 + 46 = 0 0 + 15y = 0 + 46 15y = 0 + 46 Combine like terms: 0 + 46 = 46 15y = 46 Divide each side by '15'. y = 3.066666667 Simplifying y = 3.066666667
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