
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
The distance from a point on the circle $x^{2}+y^{2}-4y+3=0$ to the line $3x-4y-2=0$ can be expressed as $\frac{|3x+4y+2|}{5}$, where $x$ and $y$ are variables. Find the range of values for this distance.

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