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Simplifying 7 + -8[6 + -1(2y + -4)] = 0 Reorder the terms: 7 + -8[6 + -1(-4 + 2y)] = 0 7 + -8[6 + (-4 * -1 + 2y * -1)] = 0 7 + -8[6 + (4 + -2y)] = 0 Combine like terms: 6 + 4 = 10 7 + -8[10 + -2y] = 0 7 + [10 * -8 + -2y * -8] = 0 7 + [-80 + 16y] = 0 Combine like terms: 7 + -80 = -73 -73 + 16y = 0 Solving -73 + 16y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '73' to each side of the equation. -73 + 73 + 16y = 0 + 73 Combine like terms: -73 + 73 = 0 0 + 16y = 0 + 73 16y = 0 + 73 Combine like terms: 0 + 73 = 73 16y = 73 Divide each side by '16'. y = 4.5625 Simplifying y = 4.5625
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