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Simplifying 6 + 3z + -1y = 0 Reorder the terms: 6 + -1y + 3z = 0 Solving 6 + -1y + 3z = 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 + -1y + -6 + 3z = 0 + -6 Reorder the terms: 6 + -6 + -1y + 3z = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1y + 3z = 0 + -6 -1y + 3z = 0 + -6 Combine like terms: 0 + -6 = -6 -1y + 3z = -6 Add '-3z' to each side of the equation. -1y + 3z + -3z = -6 + -3z Combine like terms: 3z + -3z = 0 -1y + 0 = -6 + -3z -1y = -6 + -3z Divide each side by '-1'. y = 6 + 3z Simplifying y = 6 + 3z
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