
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
Define a new operation "$\star$" by $x \star y = 5x - 2y + 2xy$, for all real numbers $x$ and $y$. Determine $4 \star y = 22$ for which values of $y$?
A) $\frac{1}{3}$
B) $0$
C) $\frac{1}{6}$
D) More than one

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