Final answer:
After distribution, you should combine like terms on one side of the equation. However, there is a typo in the equation, and the '9/20(2y=1)' likely should be '9/20(2y+1)' for it to make sense. Isolation of variables typically comes after simplification.
Step-by-step explanation:
After using the distributive property, the next step in solving the equation 2/5(1/2y+20)-4/5=9/20(2y=1) would typically involve combining like terms and simplifying each side of the equation. However, given the options provided, the most appropriate next step would be to either combine the like terms on the left side of the equation (option D) or on the right side (option C), depending on how the distributive property was applied. Unfortunately, there seems to be a typo in the equation, specifically in the term '9/20(2y=1)', which should likely be '9/20(2y+1)' for the equation to make sense mathematically.
It is important to note that isolation of the variable or constant (options A and B) generally comes after simplifying the expressions on both sides, unless the equation is already in a form that allows isolation of the variable or constant without further simplification.