No. I mean that your taxable income is reduced by $6000. The withholding would only reduce by the amount of taxes you no longer have to pay on that $6000. Depending on how much you are making it seems like they reduced your withholding by $50 which lines up if you are making less than $20k a year.
A deduction reduces your taxable income, which indirectly reduces your tax by whatever your marginal tax rate happens to be.
For example, in the 12% tax bracket, a $4800 deduction reduces your tax by 0.12 x 4800 = $576 over the course of the year, or $48 per paycheck if you are paid monthly.
84740296169 t1_j6o4gps wrote
It's a deduction, so it only reduces your taxable income; not the actual tax.