Question

solve
$\frac{2y}{3} - \frac{1}{2} = \frac{y}{2} + \frac{3}{5}$
find y
​

Answer 1

Answer:

$\boxed{\bf y=\frac{33}{5} }$

Step-by-step explanation:

$\frac{2y}{3} -\frac{1}{2} =\frac{y}{2}+\frac{3}{5} \\\\ \frac{2y}{3} -\frac{y}{2}=\frac{3}{5} +\frac{1}{2} \\\\ \frac{2y}{3} \times\frac{2}{2} -\frac{y}{2} \times \frac{3}{3}=\frac{3}{5} \times \frac{2}{2} +\frac{1}{2} \times\frac{5}{5} \\\\ \frac{4y}{6} -\frac{3y}{6} =\frac{6}{10} + \frac{5}{10} \\\\ \frac{4y-3y}{6} =\frac{6+5}{10} \\\\ \frac{y}{6} =\frac{11}{10} \\\\ y=\frac{11}{10} \times 6 \\\\ y=\frac{33}{5}$