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Simplifying 56x + -1y + -7(8x + -6y + 5z) = 0 56x + -1y + (8x * -7 + -6y * -7 + 5z * -7) = 0 56x + -1y + (-56x + 42y + -35z) = 0 Reorder the terms: 56x + -56x + -1y + 42y + -35z = 0 Combine like terms: 56x + -56x = 0 0 + -1y + 42y + -35z = 0 -1y + 42y + -35z = 0 Combine like terms: -1y + 42y = 41y 41y + -35z = 0 Solving 41y + -35z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '35z' to each side of the equation. 41y + -35z + 35z = 0 + 35z Combine like terms: -35z + 35z = 0 41y + 0 = 0 + 35z 41y = 0 + 35z Remove the zero: 41y = 35z Divide each side by '41'. y = 0.8536585366z Simplifying y = 0.8536585366z
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