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Simplifying 9 + -8[5 + -1(5y + -7)] = 0 Reorder the terms: 9 + -8[5 + -1(-7 + 5y)] = 0 9 + -8[5 + (-7 * -1 + 5y * -1)] = 0 9 + -8[5 + (7 + -5y)] = 0 Combine like terms: 5 + 7 = 12 9 + -8[12 + -5y] = 0 9 + [12 * -8 + -5y * -8] = 0 9 + [-96 + 40y] = 0 Combine like terms: 9 + -96 = -87 -87 + 40y = 0 Solving -87 + 40y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '87' to each side of the equation. -87 + 87 + 40y = 0 + 87 Combine like terms: -87 + 87 = 0 0 + 40y = 0 + 87 40y = 0 + 87 Combine like terms: 0 + 87 = 87 40y = 87 Divide each side by '40'. y = 2.175 Simplifying y = 2.175
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