[tex] \frac{y}{2} +4 = \frac{1}{6} [/tex]
Here we have to find the value of y.
So 4 is in addition on the left side, we perform opposite operation of addition, thus subtracting 4 from 1/6 on the right side.
[tex] \frac{y}{2} = \frac{1}{6} -4 [/tex]
Now here we have to find least common denominator of 1 and 6, which is 6.
[tex] \frac{y}{2} = \frac{1}{6} - \frac{24}{6} [/tex]
subtracting numerators,
[tex] \frac{y}{2} = \frac{1-24}{6} [/tex]
[tex] \frac{y}{2} = \frac{-23}{6} [/tex]
multiplying 2 on the right side,
y=-23/3
