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Simplifying -2(3z + -6y) + -1z = 0 Reorder the terms: -2(-6y + 3z) + -1z = 0 (-6y * -2 + 3z * -2) + -1z = 0 (12y + -6z) + -1z = 0 Combine like terms: -6z + -1z = -7z 12y + -7z = 0 Solving 12y + -7z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7z' to each side of the equation. 12y + -7z + 7z = 0 + 7z Combine like terms: -7z + 7z = 0 12y + 0 = 0 + 7z 12y = 0 + 7z Remove the zero: 12y = 7z Divide each side by '12'. y = 0.5833333333z Simplifying y = 0.5833333333z
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