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Simplifying -2(2z + -4y) + -1z = 0 Reorder the terms: -2(-4y + 2z) + -1z = 0 (-4y * -2 + 2z * -2) + -1z = 0 (8y + -4z) + -1z = 0 Combine like terms: -4z + -1z = -5z 8y + -5z = 0 Solving 8y + -5z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5z' to each side of the equation. 8y + -5z + 5z = 0 + 5z Combine like terms: -5z + 5z = 0 8y + 0 = 0 + 5z 8y = 0 + 5z Remove the zero: 8y = 5z Divide each side by '8'. y = 0.625z Simplifying y = 0.625z
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