
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
Let  $ f, g: \mathbb {R} \to \mathbb {R} $  function such that  $ f (x + g (y)) = - x + y + 1 $  for each pair of real numbers  $ x $  e  $ y $ . What is the value of  $ g (x + f (y) $ ?

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