
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
Sam Wang decides to evaluate an expression of the form  $x +2 \cdot 2+ y$ . However, he unfortunately reads each ’plus’ as a ’times’ and reads each ’times’ as a ’plus’. Surprisingly, he still gets the problem correct. Find  $x + y$ .

*Proposed by Edwin Zhao*

<details><summary>Solution</summary>*Solution.*  $\boxed{4}$ We have  $x+2*2+y=x \cdot 2+2 \cdot y$ . When simplifying, we have  $x+y+4=2x+2y$ , and  $x+y=4$ .</details>

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