
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
If  $ a\equal{}2b\plus{}c$ ,  $ b\equal{}2c\plus{}d$ ,  $ 2c\equal{}d\plus{}a\minus{}1$ ,  $ d\equal{}a\minus{}c$ , what is  $ b$ ?

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