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Simplifying -6y + -3(z + -5y) + 5z = 0 Reorder the terms: -6y + -3(-5y + z) + 5z = 0 -6y + (-5y * -3 + z * -3) + 5z = 0 -6y + (15y + -3z) + 5z = 0 Combine like terms: -6y + 15y = 9y 9y + -3z + 5z = 0 Combine like terms: -3z + 5z = 2z 9y + 2z = 0 Solving 9y + 2z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2z' to each side of the equation. 9y + 2z + -2z = 0 + -2z Combine like terms: 2z + -2z = 0 9y + 0 = 0 + -2z 9y = 0 + -2z Remove the zero: 9y = -2z Divide each side by '9'. y = -0.2222222222z Simplifying y = -0.2222222222z
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