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Simplifying 7 + -8[9 + -1(4y + -6)] = 0 Reorder the terms: 7 + -8[9 + -1(-6 + 4y)] = 0 7 + -8[9 + (-6 * -1 + 4y * -1)] = 0 7 + -8[9 + (6 + -4y)] = 0 Combine like terms: 9 + 6 = 15 7 + -8[15 + -4y] = 0 7 + [15 * -8 + -4y * -8] = 0 7 + [-120 + 32y] = 0 Combine like terms: 7 + -120 = -113 -113 + 32y = 0 Solving -113 + 32y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '113' to each side of the equation. -113 + 113 + 32y = 0 + 113 Combine like terms: -113 + 113 = 0 0 + 32y = 0 + 113 32y = 0 + 113 Combine like terms: 0 + 113 = 113 32y = 113 Divide each side by '32'. y = 3.53125 Simplifying y = 3.53125
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