
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 the parallelogram are given as \(5\), \(11\), \(3y+2\), and \(4x-1\) respectively. Determine the value of \(x+y\).

\[ \text{[asy]} \draw((0,0)--(22,0)--(27,20)--(5,20)--cycle); \label("$3y+2$",(11,0),S); \label("11",(26,10),E); \label("5",(16,20),N); \label("$4x-1$",(2.5,10),W); \text{[/asy]} \]

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