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Simplifying 4 + -2[5 + -1(4y + -5)] = 0 Reorder the terms: 4 + -2[5 + -1(-5 + 4y)] = 0 4 + -2[5 + (-5 * -1 + 4y * -1)] = 0 4 + -2[5 + (5 + -4y)] = 0 Combine like terms: 5 + 5 = 10 4 + -2[10 + -4y] = 0 4 + [10 * -2 + -4y * -2] = 0 4 + [-20 + 8y] = 0 Combine like terms: 4 + -20 = -16 -16 + 8y = 0 Solving -16 + 8y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 8y = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 8y = 0 + 16 8y = 0 + 16 Combine like terms: 0 + 16 = 16 8y = 16 Divide each side by '8'. y = 2 Simplifying y = 2
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