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Simplifying 12 + 7y + -10z = 0 Solving 12 + 7y + -10z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 7y + -12 + -10z = 0 + -12 Reorder the terms: 12 + -12 + 7y + -10z = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 7y + -10z = 0 + -12 7y + -10z = 0 + -12 Combine like terms: 0 + -12 = -12 7y + -10z = -12 Add '10z' to each side of the equation. 7y + -10z + 10z = -12 + 10z Combine like terms: -10z + 10z = 0 7y + 0 = -12 + 10z 7y = -12 + 10z Divide each side by '7'. y = -1.714285714 + 1.428571429z Simplifying y = -1.714285714 + 1.428571429z
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