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Simplifying 8 + -5[8 + -1(5y + -4)] = 0 Reorder the terms: 8 + -5[8 + -1(-4 + 5y)] = 0 8 + -5[8 + (-4 * -1 + 5y * -1)] = 0 8 + -5[8 + (4 + -5y)] = 0 Combine like terms: 8 + 4 = 12 8 + -5[12 + -5y] = 0 8 + [12 * -5 + -5y * -5] = 0 8 + [-60 + 25y] = 0 Combine like terms: 8 + -60 = -52 -52 + 25y = 0 Solving -52 + 25y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '52' to each side of the equation. -52 + 52 + 25y = 0 + 52 Combine like terms: -52 + 52 = 0 0 + 25y = 0 + 52 25y = 0 + 52 Combine like terms: 0 + 52 = 52 25y = 52 Divide each side by '25'. y = 2.08 Simplifying y = 2.08
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