Question 1055692

Simplify the following complex fraction
(y+2)/3y divided by y-(4/y)
I get I have to flip the second fraction and multiply but I'm not exactly sure if I only have to flip the (4/y) to (y/4) but then what do I do with the y that it's subtracted from?
<pre>{{{(y + 2)/(3y)}}}{{{"÷"}}}{{{y - 4/y}}}
{{{(y + 2)/(3y)}}}{{{"÷"}}}{{{(y^2 - 4)/y}}} ------ Multiplying right fraction by LCD, y
{{{(y + 2)/(3y)}}}{{{"÷"}}}{{{(y - 2)(y + 2)/y}}} ------- Factoring {{{y^2 - 4}}}
{{{(y + 2)/(3y)}}}{{{"*"}}}{{{y/(y - 2)(y + 2)}}} ------ Applying KEEP, CHANGE, FLIP
{{{cross((y + 2))/(3cross(y))}}}{{{"*"}}}{{{cross(y)/(y - 2)cross((y + 2))}}} =====> {{{highlight_green(matrix(1,3, 1/3(y - 2), or, 1/(3y - 6)))}}}