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Simplifying -3y + -2(2z + -6y) + -6z = 0 Reorder the terms: -3y + -2(-6y + 2z) + -6z = 0 -3y + (-6y * -2 + 2z * -2) + -6z = 0 -3y + (12y + -4z) + -6z = 0 Combine like terms: -3y + 12y = 9y 9y + -4z + -6z = 0 Combine like terms: -4z + -6z = -10z 9y + -10z = 0 Solving 9y + -10z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '10z' to each side of the equation. 9y + -10z + 10z = 0 + 10z Combine like terms: -10z + 10z = 0 9y + 0 = 0 + 10z 9y = 0 + 10z Remove the zero: 9y = 10z Divide each side by '9'. y = 1.111111111z Simplifying y = 1.111111111z
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