Question

Find the value of y in the equation

Answer 1

We want to find y from the equation
$\frac{3}{y-2} =8$

Multiply each side by (y - 2).
$(y-2).( \frac{3}{y-2)}) = 8(y-2)$
Note that (y-2) in the numerator and denominator cancel out on the left side.
Therefore
3 = 8(y - 2)
3 = 8y - 16
Add 16  to each side.
3 + 16 = 8y - 16 + 16
19 = 8y
Divideach side by 8.
19/8 = y

Answer: $y= \frac{19}{8}$