
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
Determine the values of $y$ that satisfy the equations $3x^2 - 5x + 4y + 6 = 0$ and $3x - 2y + 1 = 0$.
A) $y^2 + y - 7 = 0$
B) $y^2 + 2y - 12 = 0$
C) $4y^2 - 2y + 24 = 0$
D) $3y^2 - y + 5 = 0$

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