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Simplifying 3x + 5y + -4z + 4y + -3x + 3z = 0 Reorder the terms: 3x + -3x + 5y + 4y + -4z + 3z = 0 Combine like terms: 3x + -3x = 0 0 + 5y + 4y + -4z + 3z = 0 5y + 4y + -4z + 3z = 0 Combine like terms: 5y + 4y = 9y 9y + -4z + 3z = 0 Combine like terms: -4z + 3z = -1z 9y + -1z = 0 Solving 9y + -1z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'z' to each side of the equation. 9y + -1z + z = 0 + z Combine like terms: -1z + z = 0 9y + 0 = 0 + z 9y = 0 + z Remove the zero: 9y = z Divide each side by '9'. y = 0.1111111111z Simplifying y = 0.1111111111z
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