
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
Translate the straight line $x + 2y - 1 = 0$ by 3 units to the left and then upward by 2 units, and determine the distance between the resulting line and the original line.

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