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The Y terminal is just a place to put wires..like a wire nut..Likely your Y wire connects directly to a wire that goes to the outdoor unit.
Locate the G wire...remove that wire and tell me if the blower remains on
so this is heat only with NO ac?
above the burners on the front wall...do you have a box with numbers on it with a round dial or a horizontal switch at the numbers?
Or a circuit board in the blower section?
Just post info when you can or post a pic...this unit could have several types of blower control.
That is a famous camstat type unit. You will need to replace the control.
Those were high fail rate....