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Simplifying 5 + -3[8 + -1(9y + -5)] = 0 Reorder the terms: 5 + -3[8 + -1(-5 + 9y)] = 0 5 + -3[8 + (-5 * -1 + 9y * -1)] = 0 5 + -3[8 + (5 + -9y)] = 0 Combine like terms: 8 + 5 = 13 5 + -3[13 + -9y] = 0 5 + [13 * -3 + -9y * -3] = 0 5 + [-39 + 27y] = 0 Combine like terms: 5 + -39 = -34 -34 + 27y = 0 Solving -34 + 27y = 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 + 27y = 0 + 34 Combine like terms: -34 + 34 = 0 0 + 27y = 0 + 34 27y = 0 + 34 Combine like terms: 0 + 34 = 34 27y = 34 Divide each side by '27'. y = 1.259259259 Simplifying y = 1.259259259
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