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Simplifying 6y + 3z = 0 Solving 6y + 3z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3z' to each side of the equation. 6y + 3z + -3z = 0 + -3z Combine like terms: 3z + -3z = 0 6y + 0 = 0 + -3z 6y = 0 + -3z Remove the zero: 6y = -3z Divide each side by '6'. y = -0.5z Simplifying y = -0.5z
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