
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 triangle $\triangle ABC$ with one vertex $A(-1, -4)$, the equations of the lines containing the angle bisectors of $\angle B$ and $\angle C$ are $l_1: y + 1 = 0$ and $l_2: x + y + 1 = 0$, respectively. Find the equation of the line on which side $BC$ lies.

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