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Simplifying 24x + -1y + -8(3x + -5y + 9z) = 0 24x + -1y + (3x * -8 + -5y * -8 + 9z * -8) = 0 24x + -1y + (-24x + 40y + -72z) = 0 Reorder the terms: 24x + -24x + -1y + 40y + -72z = 0 Combine like terms: 24x + -24x = 0 0 + -1y + 40y + -72z = 0 -1y + 40y + -72z = 0 Combine like terms: -1y + 40y = 39y 39y + -72z = 0 Solving 39y + -72z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '72z' to each side of the equation. 39y + -72z + 72z = 0 + 72z Combine like terms: -72z + 72z = 0 39y + 0 = 0 + 72z 39y = 0 + 72z Remove the zero: 39y = 72z Divide each side by '39'. y = 1.846153846z Simplifying y = 1.846153846z
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