Expected gain in a coin-toss lottery

Consider a coin for which the probability of obtaining head in a single toss is $\frac13$. Sunita tosses the coin once. If head appears, she receives a random amount of $X$ rupees, where $X$ has the $\mathrm{Exp}\bigl(\frac19\bigr)$ distribution. If tail appears, she loses a random amount of $Y$ rupees, where $Y$ has the $\mathrm{Exp}\bigl(\frac13\bigr)$ distribution. Her expected gain (in rupees) is equal to __________ (answer in integer)