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Simplifying 5 + -8[7 + -1(4y + -9)] = 0 Reorder the terms: 5 + -8[7 + -1(-9 + 4y)] = 0 5 + -8[7 + (-9 * -1 + 4y * -1)] = 0 5 + -8[7 + (9 + -4y)] = 0 Combine like terms: 7 + 9 = 16 5 + -8[16 + -4y] = 0 5 + [16 * -8 + -4y * -8] = 0 5 + [-128 + 32y] = 0 Combine like terms: 5 + -128 = -123 -123 + 32y = 0 Solving -123 + 32y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '123' to each side of the equation. -123 + 123 + 32y = 0 + 123 Combine like terms: -123 + 123 = 0 0 + 32y = 0 + 123 32y = 0 + 123 Combine like terms: 0 + 123 = 123 32y = 123 Divide each side by '32'. y = 3.84375 Simplifying y = 3.84375
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