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