
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
In a city's middle school basketball competition, Xiao Fang played a total of 10 games. He scored 22, 15, 12, and 19 points respectively in the 6th, 7th, 8th, and 9th games. Let the average score of his first 9 games be $y$, and the average score of his first 5 games be $x$.
(1) Express $y$ in terms of $x$ and find the minimum value of $y$.
(2) When $y > x$, what is the maximum total score Xiao Fang can achieve in the first 5 games?

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