PA will not give a credit for taxes paid to reciprocal states such as NJ. Instead, the taxpayer should enter his entire full-year NJ withholding amount on his part-year resident NJ return. NJ will then refund the excess withholding.
https://www.revenue.pa.gov/FormsandPublications/PAPersonalIncomeTaxGuide/Pages/Deductions-and-Credit....
**Answers are correct to the best of my ability but do not constitute tax or legal advice.
