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Simplifying 4z + 2y + -1z + 3y = 0 Reorder the terms: 2y + 3y + 4z + -1z = 0 Combine like terms: 2y + 3y = 5y 5y + 4z + -1z = 0 Combine like terms: 4z + -1z = 3z 5y + 3z = 0 Solving 5y + 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. 5y + 3z + -3z = 0 + -3z Combine like terms: 3z + -3z = 0 5y + 0 = 0 + -3z 5y = 0 + -3z Remove the zero: 5y = -3z Divide each side by '5'. y = -0.6z Simplifying y = -0.6z
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