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Simplifying 10z + 9y + -6z + -5y = 0 Reorder the terms: 9y + -5y + 10z + -6z = 0 Combine like terms: 9y + -5y = 4y 4y + 10z + -6z = 0 Combine like terms: 10z + -6z = 4z 4y + 4z = 0 Solving 4y + 4z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4z' to each side of the equation. 4y + 4z + -4z = 0 + -4z Combine like terms: 4z + -4z = 0 4y + 0 = 0 + -4z 4y = 0 + -4z Remove the zero: 4y = -4z Divide each side by '4'. y = -1z Simplifying y = -1z
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