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Simplifying 18z + 10y + 3z + -1y = 0 Reorder the terms: 10y + -1y + 18z + 3z = 0 Combine like terms: 10y + -1y = 9y 9y + 18z + 3z = 0 Combine like terms: 18z + 3z = 21z 9y + 21z = 0 Solving 9y + 21z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-21z' to each side of the equation. 9y + 21z + -21z = 0 + -21z Combine like terms: 21z + -21z = 0 9y + 0 = 0 + -21z 9y = 0 + -21z Remove the zero: 9y = -21z Divide each side by '9'. y = -2.333333333z Simplifying y = -2.333333333z
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