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Simplifying 2 + -3(5 + -1(9y + -6)) = 0 Reorder the terms: 2 + -3(5 + -1(-6 + 9y)) = 0 2 + -3(5 + (-6 * -1 + 9y * -1)) = 0 2 + -3(5 + (6 + -9y)) = 0 Combine like terms: 5 + 6 = 11 2 + -3(11 + -9y) = 0 2 + (11 * -3 + -9y * -3) = 0 2 + (-33 + 27y) = 0 Combine like terms: 2 + -33 = -31 -31 + 27y = 0 Solving -31 + 27y = 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 + 27y = 0 + 31 Combine like terms: -31 + 31 = 0 0 + 27y = 0 + 31 27y = 0 + 31 Combine like terms: 0 + 31 = 31 27y = 31 Divide each side by '27'. y = 1.148148148 Simplifying y = 1.148148148
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