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Simplifying -3z + 8(z + y) = 0 Reorder the terms: -3z + 8(y + z) = 0 -3z + (y * 8 + z * 8) = 0 -3z + (8y + 8z) = 0 Reorder the terms: 8y + -3z + 8z = 0 Combine like terms: -3z + 8z = 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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