
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
Let $f$ be a function defined by $f\left(\dfrac{x}{3}\right) = x^2 + x + 1$. Find the sum of all values of $y$ for which $f(2y) = 10$.
A) -0.17
B) 0.25
C) 0.5
D) -0.59
E) 0.42

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