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Simplifying 12 + 2y + -3z = 4 Solving 12 + 2y + -3z = 4 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 + 2y + -12 + -3z = 4 + -12 Reorder the terms: 12 + -12 + 2y + -3z = 4 + -12 Combine like terms: 12 + -12 = 0 0 + 2y + -3z = 4 + -12 2y + -3z = 4 + -12 Combine like terms: 4 + -12 = -8 2y + -3z = -8 Add '3z' to each side of the equation. 2y + -3z + 3z = -8 + 3z Combine like terms: -3z + 3z = 0 2y + 0 = -8 + 3z 2y = -8 + 3z Divide each side by '2'. y = -4 + 1.5z Simplifying y = -4 + 1.5z
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