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Simplifying 5 + -6[8 + -1(5y + -9)] = 0 Reorder the terms: 5 + -6[8 + -1(-9 + 5y)] = 0 5 + -6[8 + (-9 * -1 + 5y * -1)] = 0 5 + -6[8 + (9 + -5y)] = 0 Combine like terms: 8 + 9 = 17 5 + -6[17 + -5y] = 0 5 + [17 * -6 + -5y * -6] = 0 5 + [-102 + 30y] = 0 Combine like terms: 5 + -102 = -97 -97 + 30y = 0 Solving -97 + 30y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '97' to each side of the equation. -97 + 97 + 30y = 0 + 97 Combine like terms: -97 + 97 = 0 0 + 30y = 0 + 97 30y = 0 + 97 Combine like terms: 0 + 97 = 97 30y = 97 Divide each side by '30'. y = 3.233333333 Simplifying y = 3.233333333
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