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Simplifying 20x + -1y + -5(4x + -8y + -9z) = 0 20x + -1y + (4x * -5 + -8y * -5 + -9z * -5) = 0 20x + -1y + (-20x + 40y + 45z) = 0 Reorder the terms: 20x + -20x + -1y + 40y + 45z = 0 Combine like terms: 20x + -20x = 0 0 + -1y + 40y + 45z = 0 -1y + 40y + 45z = 0 Combine like terms: -1y + 40y = 39y 39y + 45z = 0 Solving 39y + 45z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-45z' to each side of the equation. 39y + 45z + -45z = 0 + -45z Combine like terms: 45z + -45z = 0 39y + 0 = 0 + -45z 39y = 0 + -45z Remove the zero: 39y = -45z Divide each side by '39'. y = -1.153846154z Simplifying y = -1.153846154z
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