
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 sides of a parallelogram measure $6y-2$, $4x+5$, $12y-10$, and $8x+1$. Find the value of $x+y$.

[asy]
draw((0,0)--(21,0)--(30,25)--(9,25)--cycle);
label("$6y-2$",(10,0),S);
label("$4x+5$",(25.5,12.5),E);
label("$12y-10$",(19.5,25),N);
label("$8x+1$",(4.5,12.5),W);
[/asy]

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