Solution
Use the List#remove method. That is exactly what it was made for, from the documentation:
Removes the first occurrence of the specified element from this list, if it is present (optional operation). If this list does not contain the element, it is unchanged. [...]
boolean wasRemoved = list.remove(data);
Removing ints
However, you might have a minor issue here. Your data type is Integer and data is probably of type int. And there is already a method with the signature List#remove(int) (documentation) which will remove the element at the given index, not the element itself.
You can bypass this by explicitly boxing your data to an Integer, which is what you actually have stored in the list:
boolean wasRemoved = list.remove((Integer) data);
Or directly make the data variable of type Integer instead of int.