
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 a line $l$ passes through point $M$ and point $N(-1, 1)$, and point $M$ is the midpoint of the line segment intercepted by line $l$ on lines $l_1: x+2y-1=0$ and $l_2: x+2y-3=0$ from the line $x-y-1=0$. Find the equation of line $l$.

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