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Simplifying 8(4y + -4) + 4(10y + 5) = 0 Reorder the terms: 8(-4 + 4y) + 4(10y + 5) = 0 (-4 * 8 + 4y * 8) + 4(10y + 5) = 0 (-32 + 32y) + 4(10y + 5) = 0 Reorder the terms: -32 + 32y + 4(5 + 10y) = 0 -32 + 32y + (5 * 4 + 10y * 4) = 0 -32 + 32y + (20 + 40y) = 0 Reorder the terms: -32 + 20 + 32y + 40y = 0 Combine like terms: -32 + 20 = -12 -12 + 32y + 40y = 0 Combine like terms: 32y + 40y = 72y -12 + 72y = 0 Solving -12 + 72y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 72y = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 72y = 0 + 12 72y = 0 + 12 Combine like terms: 0 + 12 = 12 72y = 12 Divide each side by '72'. y = 0.1666666667 Simplifying y = 0.1666666667
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