
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
How many integers are common solutions to these three inequalities? 
\[
\begin{array}{cccc}
(1) & -3y & \geq & y+9 \\
(2) & -2y & \leq & 18 \\
(3) & -4y & \geq & 2y+20
\end{array}
\]

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