
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 $y=y_1+y_2$, where $y_1$ is a direct proportion function of $x$, and $y_2$ is directly proportional to $x+1$. When $x=1$, $y=3$; when $x=-3$, $y=-1$. Find the function relationship between $y$ and $x$.

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