After being told four times to clean his room, the little boy unwillingly shoved all his toys under the bed. Note: it should be "unwillingly" not "un willingly"
She willingly gave him the food. He did not willingly leave her.
The adjective is other and the adverb is willingly.
escuchando un adagio
She was willingly able to say she loved him.
Uso un camino ir al cine.
I tangled up the cord/I un-tangled the cord
El tiene un gato en los pantalones.
it is an un proper sentence
The comparative form of "willingly" is "more willingly." In English, adverbs that are not one-syllable words typically use "more" to form the comparative. Therefore, when comparing the degree to which someone is willing, you would say "more willingly."
Voy a usar un libro texto para estudiar español. I am going to use a textbook to study Spanish.
The UN is an abbreviation for the United Nations.
As an adverb - The lack of UN funds made the attempt to help the refugees pitifully inadequate .