Question

Simplify-

$\frac{6\mathrm{y}-5}{2y}=\frac{7}{9}$

Answer 1

Using transposing rule-

$\frac{6\mathrm{y}-5}{2y}=\frac{7}{9}$

$\begin{array}{rcl}9\left(6\mathrm{y}-5\right)& =& 7\times 2y\\ 54y-45& =& 14y\\ 54y-14y& =& 45\\ 40y& =& 45\\ y& =& \frac{45}{40}\\ y& =& \frac{9}{8}\end{array}$

Hence, $\mathrm{y}=\frac{9}{8}$