
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
The functions \( f(x) \) and \( g(x) \) are defined on the entire real line and take real values. For any real \( x \) and \( y \), the equality \( f(x+g(y))=2x+y+5 \) holds. Find the function \( g(x+f(y)) \) (express it explicitly in terms of \( x \) and \( y \) ).

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