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Simplifying 3z + -3y + 6 = 12 Reorder the terms: 6 + -3y + 3z = 12 Solving 6 + -3y + 3z = 12 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 + -3y + -6 + 3z = 12 + -6 Reorder the terms: 6 + -6 + -3y + 3z = 12 + -6 Combine like terms: 6 + -6 = 0 0 + -3y + 3z = 12 + -6 -3y + 3z = 12 + -6 Combine like terms: 12 + -6 = 6 -3y + 3z = 6 Add '-3z' to each side of the equation. -3y + 3z + -3z = 6 + -3z Combine like terms: 3z + -3z = 0 -3y + 0 = 6 + -3z -3y = 6 + -3z Divide each side by '-3'. y = -2 + z Simplifying y = -2 + z
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