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Simplifying 5 + -7[3 + -1(9y + -7)] = 0 Reorder the terms: 5 + -7[3 + -1(-7 + 9y)] = 0 5 + -7[3 + (-7 * -1 + 9y * -1)] = 0 5 + -7[3 + (7 + -9y)] = 0 Combine like terms: 3 + 7 = 10 5 + -7[10 + -9y] = 0 5 + [10 * -7 + -9y * -7] = 0 5 + [-70 + 63y] = 0 Combine like terms: 5 + -70 = -65 -65 + 63y = 0 Solving -65 + 63y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '65' to each side of the equation. -65 + 65 + 63y = 0 + 65 Combine like terms: -65 + 65 = 0 0 + 63y = 0 + 65 63y = 0 + 65 Combine like terms: 0 + 65 = 65 63y = 65 Divide each side by '63'. y = 1.031746032 Simplifying y = 1.031746032
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