
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
Point $Q$ has an x-coordinate that is a solution of the linear equation $3x+7=32-2x$, and a y-coordinate equal to the value of $a+b$, where $a$ and $b$ satisfy the system of linear equations $\left\{\begin{array}{l}{2a-b=4}\\{-a+2b=-8}\end{array}\right.$. The coordinates of the point $Q$ are ______ when reflected across the $y$-axis to point $Q'$.

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