If you live in ny and work in NJ how much taxes are taken out of your paycheck?

There are many ways to figure it, and of course, even what you consider tax (Unemployment contributions?, FICA?, workers comp?, Federal tax, and State, and city...as city resident or not...etc,) so...questions on why your withholding is what it is should be addressed to whoever is making the calculation, which is done pursuant to the info you provide on your W-4.

If you need to adjust it, because your circumstances require more or less to be withheld to approximate your liability after other income, or special dedcutions you may have...that can be done through them.

The amount wittheld, like the amount of tax actually determined to be due, is dependent on many, many factors...such as your maritial and family status, other income and expenses, how other employer benefits are handled (like retirement contributions, health and medical, etc., etc). It is very reasonable to say that even 2 people at the same job making the same salary will commonly have very different amounts withheld.