
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 $y = \frac{5}{3}x + 10$ and a line $L$ parallel to the given line and $5$ units from it. A possible equation for $L$ is:
A) \( y = \frac{5}{3}x + 10 \)
B) \( y = \frac{5}{3}x + \left(10 + \frac{5\sqrt{34}}{3}\right) \)
C) \( y = \frac{5}{3}x + \left(10 - \frac{5\sqrt{34}}{3}\right) \)
D) \( y = \frac{5}{3}x \)
E) \( y = \frac{5}{3}x + 12 \)

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