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Simplifying -2y + -2(4z + -5y) + -6z = 0 Reorder the terms: -2y + -2(-5y + 4z) + -6z = 0 -2y + (-5y * -2 + 4z * -2) + -6z = 0 -2y + (10y + -8z) + -6z = 0 Combine like terms: -2y + 10y = 8y 8y + -8z + -6z = 0 Combine like terms: -8z + -6z = -14z 8y + -14z = 0 Solving 8y + -14z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '14z' to each side of the equation. 8y + -14z + 14z = 0 + 14z Combine like terms: -14z + 14z = 0 8y + 0 = 0 + 14z 8y = 0 + 14z Remove the zero: 8y = 14z Divide each side by '8'. y = 1.75z Simplifying y = 1.75z
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