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Simplifying 7 + -4[6 + -1(9y + -6)] = 0 Reorder the terms: 7 + -4[6 + -1(-6 + 9y)] = 0 7 + -4[6 + (-6 * -1 + 9y * -1)] = 0 7 + -4[6 + (6 + -9y)] = 0 Combine like terms: 6 + 6 = 12 7 + -4[12 + -9y] = 0 7 + [12 * -4 + -9y * -4] = 0 7 + [-48 + 36y] = 0 Combine like terms: 7 + -48 = -41 -41 + 36y = 0 Solving -41 + 36y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + 36y = 0 + 41 Combine like terms: -41 + 41 = 0 0 + 36y = 0 + 41 36y = 0 + 41 Combine like terms: 0 + 41 = 41 36y = 41 Divide each side by '36'. y = 1.138888889 Simplifying y = 1.138888889
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