
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
A parallelogram has side lengths of 10, $12x-2$, $5y+5$, and $4$. What is the value of $x+y$?

[asy]draw((0,0)--(24,0)--(30,20)--(6,20)--cycle);
label("$12x-2$",(15,0),S);
label("10",(3,10),W);
label("$5y+5$",(18,20),N);
label("4",(27,10),E);
[/asy]

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