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Simplifying 12z + 2y + 32 + -1y = 0 Reorder the terms: 32 + 2y + -1y + 12z = 0 Combine like terms: 2y + -1y = 1y 32 + 1y + 12z = 0 Solving 32 + 1y + 12z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + 1y + -32 + 12z = 0 + -32 Reorder the terms: 32 + -32 + 1y + 12z = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 1y + 12z = 0 + -32 1y + 12z = 0 + -32 Combine like terms: 0 + -32 = -32 1y + 12z = -32 Add '-12z' to each side of the equation. 1y + 12z + -12z = -32 + -12z Combine like terms: 12z + -12z = 0 1y + 0 = -32 + -12z 1y = -32 + -12z Divide each side by '1'. y = -32 + -12z Simplifying y = -32 + -12z
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