
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, $PQR$ is a straight line. Point $T$ is located such that $QT$ and $RS$ are straight lines forming triangle $QRS$. What is the value of $y$?

[asy]
draw((-2,0)--(10,0),linewidth(0.7)); draw((10,0)--(3,-5.5)--(0,0),linewidth(0.7)); draw((0,0)--(6.5, -5.5), linewidth(0.7));
label("$P$",(-2,0),W); label("$Q$",(0,0),N); label("$R$",(10,0),E); label("$S$",(3,-5.5),S); label("$T$", (6.5, -5.5), SE);

label("$124^\circ$",(0,0),8*dir(240)); label("$78^\circ$",(9,0),8*dir(200));

label("$y^\circ$",(5,-4));

[/asy]

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