Differences between "give" and "give way "

Solution 1:

The comments are as usual the best advice.

To give is, as expected, to offer up. In the case of the door it means its offering up in response to the force against it, particularly to the satisfaction of those pushing on it. it would not give despite their efforts to make it do so. To give way is to give up or yield entirely, catastrophically.

Usage such as ‘Alan's discomfort gave way to anger’ are idiomatic in telling you about Alan's efforts and the writer's perception of the outcome. Alan may have had no discomfort whatsoever and been angry for other reasons. I believe what the resisting object gives way to may be well understood without taking an object.