New York Bankruptcy exemptions protect the equity in your assets. Equity is the value of your property you own after any liens. Property that is exempt cannot be used to pay back your debts. Any property that is not exempt, the Trustee will take to pay back your creditors. Therefore, you are allowed to keep all exempt property. In a Chapter 7 New York bankruptcy case, the Chapter 7 trustee does not want property that is covered by an exemption.
If you believe that your property is exempt, this does not mean that you can leave it out of your bankruptcy petition. All debts and assets must be included in your chapter 7 bankruptcy petition. The only way that your property can be exempt is by claiming the exemption on the property on your bankruptcy petition. If you fail to list your property or claim the wrong exemption, then your property is not exempt and will not protected from the Chapter 7 trustee.