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Simplifying 5 + -9[6 + -1(5y + -7)] = 0 Reorder the terms: 5 + -9[6 + -1(-7 + 5y)] = 0 5 + -9[6 + (-7 * -1 + 5y * -1)] = 0 5 + -9[6 + (7 + -5y)] = 0 Combine like terms: 6 + 7 = 13 5 + -9[13 + -5y] = 0 5 + [13 * -9 + -5y * -9] = 0 5 + [-117 + 45y] = 0 Combine like terms: 5 + -117 = -112 -112 + 45y = 0 Solving -112 + 45y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '112' to each side of the equation. -112 + 112 + 45y = 0 + 112 Combine like terms: -112 + 112 = 0 0 + 45y = 0 + 112 45y = 0 + 112 Combine like terms: 0 + 112 = 112 45y = 112 Divide each side by '45'. y = 2.488888889 Simplifying y = 2.488888889
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