Random Variables · Challenge problem

A driver's yearly collision loss $L$ is $\$0$ with probability $0.9$, $\$500$ with probability $0.06$ and $\$2000$ with probability $0.04$. A policy with deductible $d$ (where $0 < d < 500$) pays $L - d$ whenever $L > d$ and nothing otherwise. What deductible $d$, in dollars, makes the expected payout of the policy exactly $\$70$?