
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 this parallelogram measure 10 units, $12y-2$, $5x+15$, and 20 units in sequence. What is the value of $x+y$?

[asy]draw((0,0)--(25,0)--(35,30)--(10,30)--cycle);
label("$12y-2$",(18,0),S);
label("20",(30,15),E);
label("10",(12.5,30),N);
label("$5x+15$",(5,15),W);
[/asy]

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