
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
In the diagram, $DEF$ is a straight line. What is the value of $y$?

[asy]
draw((-3, 0)--(10, 0), linewidth(0.7)); 
draw((10, 0)--(4, -6)--(0, 0), linewidth(0.7));
label("$D$", (-3, 0), W); 
label("$E$", (0, 0), N); 
label("$F$", (10, 0), E); 
label("$G$", (4, -6), S);
label("$150^\circ$", (0, 0), SW); 
label("$50^\circ$", (9, 0), S);
label("$y^\circ$", (4, -4.5));
[/asy]

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