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Simplifying -3(3z + -6y) + -1z = 0 Reorder the terms: -3(-6y + 3z) + -1z = 0 (-6y * -3 + 3z * -3) + -1z = 0 (18y + -9z) + -1z = 0 Combine like terms: -9z + -1z = -10z 18y + -10z = 0 Solving 18y + -10z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '10z' to each side of the equation. 18y + -10z + 10z = 0 + 10z Combine like terms: -10z + 10z = 0 18y + 0 = 0 + 10z 18y = 0 + 10z Remove the zero: 18y = 10z Divide each side by '18'. y = 0.5555555556z Simplifying y = 0.5555555556z
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