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Simplifying 7 + -8[8 + -1(5y + -9)] = 0 Reorder the terms: 7 + -8[8 + -1(-9 + 5y)] = 0 7 + -8[8 + (-9 * -1 + 5y * -1)] = 0 7 + -8[8 + (9 + -5y)] = 0 Combine like terms: 8 + 9 = 17 7 + -8[17 + -5y] = 0 7 + [17 * -8 + -5y * -8] = 0 7 + [-136 + 40y] = 0 Combine like terms: 7 + -136 = -129 -129 + 40y = 0 Solving -129 + 40y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '129' to each side of the equation. -129 + 129 + 40y = 0 + 129 Combine like terms: -129 + 129 = 0 0 + 40y = 0 + 129 40y = 0 + 129 Combine like terms: 0 + 129 = 129 40y = 129 Divide each side by '40'. y = 3.225 Simplifying y = 3.225
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