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Simplifying 3y + -1y + 4z + 2z = 0 Combine like terms: 3y + -1y = 2y 2y + 4z + 2z = 0 Combine like terms: 4z + 2z = 6z 2y + 6z = 0 Solving 2y + 6z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6z' to each side of the equation. 2y + 6z + -6z = 0 + -6z Combine like terms: 6z + -6z = 0 2y + 0 = 0 + -6z 2y = 0 + -6z Remove the zero: 2y = -6z Divide each side by '2'. y = -3z Simplifying y = -3z
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