
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
Three boys share marbles where the first boy has $4y+2$ marbles, the second boy has $2y$ marbles, and the third boy has $y+3$ marbles. If the total number of marbles is 31, determine the value of $y$.
A) $\frac{25}{7}$
B) $4$
C) $\frac{26}{7}$
D) $10$

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