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Simplifying 5z + -4y + 6 + -3y + -1z = 0 Reorder the terms: 6 + -4y + -3y + 5z + -1z = 0 Combine like terms: -4y + -3y = -7y 6 + -7y + 5z + -1z = 0 Combine like terms: 5z + -1z = 4z 6 + -7y + 4z = 0 Solving 6 + -7y + 4z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -7y + -6 + 4z = 0 + -6 Reorder the terms: 6 + -6 + -7y + 4z = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7y + 4z = 0 + -6 -7y + 4z = 0 + -6 Combine like terms: 0 + -6 = -6 -7y + 4z = -6 Add '-4z' to each side of the equation. -7y + 4z + -4z = -6 + -4z Combine like terms: 4z + -4z = 0 -7y + 0 = -6 + -4z -7y = -6 + -4z Divide each side by '-7'. y = 0.8571428571 + 0.5714285714z Simplifying y = 0.8571428571 + 0.5714285714z
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