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Simplifying 6y + 3z + 2y + -1z = 0 Reorder the terms: 6y + 2y + 3z + -1z = 0 Combine like terms: 6y + 2y = 8y 8y + 3z + -1z = 0 Combine like terms: 3z + -1z = 2z 8y + 2z = 0 Solving 8y + 2z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2z' to each side of the equation. 8y + 2z + -2z = 0 + -2z Combine like terms: 2z + -2z = 0 8y + 0 = 0 + -2z 8y = 0 + -2z Remove the zero: 8y = -2z Divide each side by '8'. y = -0.25z Simplifying y = -0.25z
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