Question 152265
Remember, the key to simplifying rational expressions or fractions is to <font size=4 color="red"><b>factor</b></font>



{{{(6-y)/(y^2-2y-24)}}} Start with the given expression.



{{{(-(y-6))/(y^2-2y-24)}}} Factor {{{6-y}}} to get {{{-(y-6)}}}.



{{{(-(y-6))/((y+4)*(y-6))}}} Factor {{{y^2-2y-24}}} to get {{{(y+4)*(y-6)}}}.



{{{(-highlight((y-6)))/((y+4)highlight((y-6)))}}} Highlight the common terms. 



{{{(-cross((y-6)))/((y+4)cross((y-6)))}}}  Cancel out the common terms. 



{{{-(1)/(y+4)}}} Simplify. 



So {{{(6-y)/(y^2-2y-24)}}} simplifies to {{{-(1)/(y+4)}}}.



In other words, {{{(6-y)/(y^2-2y-24)=-(1)/(y+4)}}} where {{{y<>-4}}} or {{{y<>6}}}