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Simplifying 12z + 2y + 3z + -1y = 0 Reorder the terms: 2y + -1y + 12z + 3z = 0 Combine like terms: 2y + -1y = 1y 1y + 12z + 3z = 0 Combine like terms: 12z + 3z = 15z 1y + 15z = 0 Solving 1y + 15z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15z' to each side of the equation. 1y + 15z + -15z = 0 + -15z Combine like terms: 15z + -15z = 0 1y + 0 = 0 + -15z 1y = 0 + -15z Remove the zero: 1y = -15z Divide each side by '1'. y = -15z Simplifying y = -15z
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