
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
Simplify the expressions, then evaluate.
(1) $-2a^2 + 3 - (3a^2 - 6a + 1) + 3$
(2) $\frac{1}{2}x - 2\left(x - \frac{1}{3}y^2\right) + \left(-\frac{3}{2}x + \frac{1}{3}y^2\right)$, where $x=-2$, $y=-3$.

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