
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
Solve the equations:<br/>
$(1) 3x-8=x+4$;<br/>
$(2) 1-3\left(x+1\right)=2\left(1-0.5x\right)$;<br/>
$(3) \frac{1}{6}(3x-6)=\frac{2}{5}x-3$;<br/>
$(4) \frac{3y-1}{4}-1=\frac{5y-7}{6}$.

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