Question 330095
{{{5/(y-3) = (y+7)/(2y-6)  +1}}}
{{{5/(y-3) = ((1/2)*(y+7))/(y-3)  +(y-3)/(y-3)}}}
{{{5/(y-3) = ((1/2)*(y+7)+(y-3))/(y-3)}}}
Multiply both sides by {{{y-3}}}.
{{{5 = (1/2)*(y+7)+(y-3)}}}
{{{10 = (y+7)+2(y-3)}}}
{{{y+7+2y-6=10}}}
{{{3y+1=10}}}
{{{3y=9}}}
{{{y=3}}}
This solution is not allowed since the assumption was made that y did not equal 3 when multiplying both sides by {{{y-3}}}. 
No solution.