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Simplifying 3y + 4z + 12 = 0 Reorder the terms: 12 + 3y + 4z = 0 Solving 12 + 3y + 4z = 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 + 3y + -12 + 4z = 0 + -12 Reorder the terms: 12 + -12 + 3y + 4z = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 3y + 4z = 0 + -12 3y + 4z = 0 + -12 Combine like terms: 0 + -12 = -12 3y + 4z = -12 Add '-4z' to each side of the equation. 3y + 4z + -4z = -12 + -4z Combine like terms: 4z + -4z = 0 3y + 0 = -12 + -4z 3y = -12 + -4z Divide each side by '3'. y = -4 + -1.333333333z Simplifying y = -4 + -1.333333333z
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