Question

Can someone help with this question?

What is the solution to the equation 3/5(y-5) = - (y+3) +2

Answer 1

Answer:

$\frac{5}{4}$

Step-by-step explanation:

Given expression:

           $\frac{3}{5}$(y - 5)   =  - (y + 3) + 2

    To solve this problem, multiply both sides by 5;

  5 x   $\frac{3}{5}$(y - 5)   = 5[-(y + 3) + 2}

         3(y - 5) = 5(-y - 3 + 2)

         expand,

          3y - 15  = 5(-y -1)

          3y -15  = -5y - 5

    Collect like terms;

          3y + 5y  = -5 + 15

             8y  = 10

               y  = $\frac{10}{8}$  = $\frac{5}{4}$