
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
A spring scale is $10cm$ long when no weight is hung on it. The length of the spring after hanging a weight is directly proportional to the mass of the weight. If a $1kg$ object is hung on it, the spring extends by $2cm$. The analytical expression of the function for the total length of the spring $y$ (unit: $cm$) in relation to the mass of the weight $x$ (unit: $kg$) is ______.

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