
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
Find the number of degrees in the measure of angle $y$.

[asy]
import markers;
size (5cm,5cm);
pair A,B,C,D,E,F,G;

A=(0,0);
B=(6,0);
C=(11,0);
D=(4.5,8);

E=(2.6,7.8);
G=(6.4,7.8);

draw((4.7,6.8){up}..{right}(6.4,7.8));
draw((4.3,6.8){up}..{left}(2.6,7.8));

draw (A--B--C--D--A);
draw (B--D);

markangle(n=1,radius=10,C,B,D,marker(stickframe(n=0),true));

label ("$y^\circ$", shift(1.5,0.75)*A);
label ("$133^\circ$", shift(1.5,1.2)*B);
label ("$31^\circ$", E,W);
label ("$35^\circ$",G,E);
[/asy]

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