Question 476228
{{{5/(y-3) - 30/(y^2-9)=1}}}
factor denominators
{{{5/(y-3) - 30/((y+3)(y-3))=1}}}
Combine fractions, get common denominator by multiplying by {{{(y+3)/(y+3)}}}
{{{5(y+3)/((y+3)(y-3)) - 30/((y+3)(y-3))=1}}}
{{{(5(y+3) - 30)/((y+3)(y-3)) = 1}}}
Distribute and add like terms in numerator
{{{(5y - 15)/((y+3)(y-3))= 1}}}
Factor numerator
{{{5(y-3)/((y+3)(y-3))= 1}}}
Cancel
{{{5/(y+3)= 1}}}
Multiply by (y+3) on both sides
{{{5 = y+3}}}
Subtract 3 on both sides
{{{2 = y}}}