Carlos is playing a dice game with Elena. Carlos will roll $2$ six-sided dice, and if the sum is greater than $7$, he will win $\$5$. If the sum is $7$, they will tie and he will break even. If the sum is less than $7$, he will lose $\$4$. **What is Carlos's expected value of playing this game? Round your answer to the nearest cent.** $\$$ [[☃ input-number 1]]