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Simplifying 7 + -8[5 + -1(4y + -4)] = 0 Reorder the terms: 7 + -8[5 + -1(-4 + 4y)] = 0 7 + -8[5 + (-4 * -1 + 4y * -1)] = 0 7 + -8[5 + (4 + -4y)] = 0 Combine like terms: 5 + 4 = 9 7 + -8[9 + -4y] = 0 7 + [9 * -8 + -4y * -8] = 0 7 + [-72 + 32y] = 0 Combine like terms: 7 + -72 = -65 -65 + 32y = 0 Solving -65 + 32y = 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 + 32y = 0 + 65 Combine like terms: -65 + 65 = 0 0 + 32y = 0 + 65 32y = 0 + 65 Combine like terms: 0 + 65 = 65 32y = 65 Divide each side by '32'. y = 2.03125 Simplifying y = 2.03125
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