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Simplifying 5 + -4[4 + -1(2y + -5)] = 0 Reorder the terms: 5 + -4[4 + -1(-5 + 2y)] = 0 5 + -4[4 + (-5 * -1 + 2y * -1)] = 0 5 + -4[4 + (5 + -2y)] = 0 Combine like terms: 4 + 5 = 9 5 + -4[9 + -2y] = 0 5 + [9 * -4 + -2y * -4] = 0 5 + [-36 + 8y] = 0 Combine like terms: 5 + -36 = -31 -31 + 8y = 0 Solving -31 + 8y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 8y = 0 + 31 Combine like terms: -31 + 31 = 0 0 + 8y = 0 + 31 8y = 0 + 31 Combine like terms: 0 + 31 = 31 8y = 31 Divide each side by '8'. y = 3.875 Simplifying y = 3.875
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