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Simplifying 7 + -4[5 + -1(6y + -9)] = 0 Reorder the terms: 7 + -4[5 + -1(-9 + 6y)] = 0 7 + -4[5 + (-9 * -1 + 6y * -1)] = 0 7 + -4[5 + (9 + -6y)] = 0 Combine like terms: 5 + 9 = 14 7 + -4[14 + -6y] = 0 7 + [14 * -4 + -6y * -4] = 0 7 + [-56 + 24y] = 0 Combine like terms: 7 + -56 = -49 -49 + 24y = 0 Solving -49 + 24y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + 24y = 0 + 49 Combine like terms: -49 + 49 = 0 0 + 24y = 0 + 49 24y = 0 + 49 Combine like terms: 0 + 49 = 49 24y = 49 Divide each side by '24'. y = 2.041666667 Simplifying y = 2.041666667
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