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Simplifying 2(4y + -6z) = 0 (4y * 2 + -6z * 2) = 0 (8y + -12z) = 0 Solving 8y + -12z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12z' to each side of the equation. 8y + -12z + 12z = 0 + 12z Combine like terms: -12z + 12z = 0 8y + 0 = 0 + 12z 8y = 0 + 12z Remove the zero: 8y = 12z Divide each side by '8'. y = 1.5z Simplifying y = 1.5z
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