Jerry and Tonya are married. They bought a house with $$100,000$ ten years ago and sold it for $$550,000$ today. They paid transaction costs of $$20,000$ when selling.

Their marginal income tax rate equals $32\%$ and their marginal capital gain tax equals $20\%$ this year.

The home sale tax exemption enables them to save $ $\_\_\_\_\_$ in tax payment.