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Simplifying 4y + -1z + 2y + 3z = 0 Reorder the terms: 4y + 2y + -1z + 3z = 0 Combine like terms: 4y + 2y = 6y 6y + -1z + 3z = 0 Combine like terms: -1z + 3z = 2z 6y + 2z = 0 Solving 6y + 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. 6y + 2z + -2z = 0 + -2z Combine like terms: 2z + -2z = 0 6y + 0 = 0 + -2z 6y = 0 + -2z Remove the zero: 6y = -2z Divide each side by '6'. y = -0.3333333333z Simplifying y = -0.3333333333z
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