Etymology
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doorway (n.)

"the passage of a door, an entrance into a room or building," 1738, from door + way (n.).

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Definitions of doorway

doorway (n.)
the entrance (the space in a wall) through which you enter or leave a room or building; the space that a door can close;
he stuck his head in the doorway
Synonyms: door / room access / threshold
From wordnet.princeton.edu