@Mel_yong - more information reuqired / something is not correct
1) on Line 13 you state there is $32k.... but there are two columns. the left column should have $32k and the right column should have zero, since you state that the unemployment was in CA,
2) on D-400 Sch PN the ONLY income in the RIGHT column should be the rental income as you state that is the income sourced from NC
3) the LEFT column on that same form should be ALL your income- from both CA and NC.
4) please review Form 1099-G, what state is listed in BOX 10a - it should reflect CA....does it?
assuming that all works out correctly, then
5) the Tax liability on form D-400 (NC) is line 19. (but if you didn't earn any money in NC, this should be zero!) OTherwise, that tax liabiltiy is carried over the CA return and CA's Schedule S determines what portion of that liability is a 'double count'; CA then gives you a credit for the 'double count'.
let me know if any of this works!!
