
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 equation of line $l$ as $x + (a + 1)y + 2 - a = 0$ $(a \in \mathbb{R})$.

(1) Find the equation of $l$ if its $y$-intercept is $2$;

(2) Find the equation of $l$ if its distance from the origin is $1$.

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