Question

Find the unknown using an inverse operation:
$y-\frac{1}{2}=4$

Answer 1

$y-\frac{1}{2}=4$

$2y-1=8$

$\Rightarrow 2y=8+1=9$

Now multiplying the above equation by the inverse of $2$ i.e $\frac{1}{2}$, we get

$2\times \frac{1}{2}y=\frac{9}{2}\Rightarrow y=\frac{9}{2}$