Question

3/2y=16/y+2

Answer 1

\[\frac{3}{2y}=\frac{16}{y+2}\]clear denominators\[3(y+2)=16*2y\]distribute on LHS; multiply on RHS\[3y+6=32y\]collect like terms\[6=29y\]divide by 29 to solve for y\[y=\frac{6}{29}\]Although I did not show the work, I checked the solution in the original equation and it satisfies it.