Mary and Anne each make deposits of $1000$ at the end of each year for $40$ years. Starting at the end of the $41$st year, Mary makes annual withdrawal of X for $15$ years, where Anne makes annual withdrawals of Y for $15$ years. Both Mary and Anne have $0$ on their accounts after the last withdraw. Mary's account earns $8\%$ per year and Anne's account earns $10\%$ per year. What is Y$-$X$?$