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Simplifying 6y + 5z + 8y + -3z = 0 Reorder the terms: 6y + 8y + 5z + -3z = 0 Combine like terms: 6y + 8y = 14y 14y + 5z + -3z = 0 Combine like terms: 5z + -3z = 2z 14y + 2z = 0 Solving 14y + 2z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2z' to each side of the equation. 14y + 2z + -2z = 0 + -2z Combine like terms: 2z + -2z = 0 14y + 0 = 0 + -2z 14y = 0 + -2z Remove the zero: 14y = -2z Divide each side by '14'. y = -0.1428571429z Simplifying y = -0.1428571429z
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