
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
Given the system of equations in $x$ and $y$ $$\begin{cases} \left.\begin{matrix}\frac {3(x+1)}{2}+y=2 \\ 3x-m=2y\end{matrix}\right.\end{cases}$$  whose solutions are all no greater than 1,  
(1) Find the range of $m$.  
(2) Simplify: $$\sqrt {x^{2}-2x+1}$$+ $$\sqrt {y^{2}-2y+1}$$+|m+3|+|m-5|-|x+y-2|

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