
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given the line \(y = \dfrac{3}{2}x + 12\) and a line \(L\) parallel to the given line and \(8\) units away from it. Determine a possible equation for \(L\).
**A)** \(y = \frac{3}{2}x + (12 + 4\sqrt{13})\)
**B)** \(y = \frac{3}{2}x + (12 - 4\sqrt{13})\)
**C)** \(y = \frac{3}{2}x + 16\)
**D)** \(y = \frac{3}{2}x + 8\)

Present the answer in LaTex format: \boxed{Your answer}
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