Question

3y-5/5-2(y-5)=y-1/2
solve the equation​

Answer 1

Step-by-step explanation:

$\frac{3y - 5}{5} - 2(y - 5) = \frac{y - 1}{2} \\ \\ = \frac{3y - 5}{5} - 2y + 10 = \frac{y - 1}{2} \\ \\ = \frac{3y - 5 - 10y + 50}{5} = \frac{ y - 1}{2} \\ \\ = \frac{ - 7y + 45}{5} = \frac{y - 1}{2} \\ \\ 5(y - 1) = 2( - 7y + 45) \\ \\ = 5y - 5 = - 14y + 90 \\ \\ = 5y + 14y = 90 + 5 \\ \\ 19y = 95 \\ \\ y = \frac{95}{19} \\ \\ y = 5$