First you have to be aware of how the expression is evaluated so for expressions like this it could be useful to take a look on operator precedence

I will wrap the expressions with parenthesis and see how it goes. The logical not precedes addition (infix +)

!(+[])+([])+(!([]))

!(0)+([])+false

true+([])+false

Then when you try to evaluate true+[] it will convert both to string and will result in "true", after that you will add "true"+false, false will be converted to string.