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Simplifying -2y + -6(5z + -2y) + 2z = 0 Reorder the terms: -2y + -6(-2y + 5z) + 2z = 0 -2y + (-2y * -6 + 5z * -6) + 2z = 0 -2y + (12y + -30z) + 2z = 0 Combine like terms: -2y + 12y = 10y 10y + -30z + 2z = 0 Combine like terms: -30z + 2z = -28z 10y + -28z = 0 Solving 10y + -28z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '28z' to each side of the equation. 10y + -28z + 28z = 0 + 28z Combine like terms: -28z + 28z = 0 10y + 0 = 0 + 28z 10y = 0 + 28z Remove the zero: 10y = 28z Divide each side by '10'. y = 2.8z Simplifying y = 2.8z
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