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Simplifying 6 + -4[5 + -1(2y + -5)] = 0 Reorder the terms: 6 + -4[5 + -1(-5 + 2y)] = 0 6 + -4[5 + (-5 * -1 + 2y * -1)] = 0 6 + -4[5 + (5 + -2y)] = 0 Combine like terms: 5 + 5 = 10 6 + -4[10 + -2y] = 0 6 + [10 * -4 + -2y * -4] = 0 6 + [-40 + 8y] = 0 Combine like terms: 6 + -40 = -34 -34 + 8y = 0 Solving -34 + 8y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + 8y = 0 + 34 Combine like terms: -34 + 34 = 0 0 + 8y = 0 + 34 8y = 0 + 34 Combine like terms: 0 + 34 = 34 8y = 34 Divide each side by '8'. y = 4.25 Simplifying y = 4.25
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