
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
Chewbacca has 15 pieces of cherry gum, 25 pieces of grape gum, and 10 pieces of apple gum. Some pieces are loose, and others are in complete packs, with each pack containing exactly $y$ pieces of gum. If Chewbacca loses one pack of cherry gum and finds one pack of apple gum, then the ratio of cherry gum he has to the number of grape gum will be the same as if he finds 2 extra packs of grape gum. Find $y$.

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