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Simplifying 5y + 8Z + 3y + -3z = 0 Reorder the terms: 8Z + 5y + 3y + -3z = 0 Combine like terms: 5y + 3y = 8y 8Z + 8y + -3z = 0 Solving 8Z + 8y + -3z = 0 Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Add '-8y' to each side of the equation. 8Z + 8y + -8y + -3z = 0 + -8y Combine like terms: 8y + -8y = 0 8Z + 0 + -3z = 0 + -8y 8Z + -3z = 0 + -8y Remove the zero: 8Z + -3z = -8y Add '3z' to each side of the equation. 8Z + -3z + 3z = -8y + 3z Combine like terms: -3z + 3z = 0 8Z + 0 = -8y + 3z 8Z = -8y + 3z Divide each side by '8'. Z = -1y + 0.375z Simplifying Z = -1y + 0.375z
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