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