Find the value of y when x = 4 in the equation 3x - 7/y = 1/3 show your work

y = ⅗  

Step-by-step explanation:

  3x – 7/y = 1/3     Substitute the value of x

3×4 – 7/y = 1/3

  12 – 7/y = 1/3         Multiply each side by 3

36 – 21/y = 1             Subtract 36 from each side

      -21/y = -35          Multiply each side by y

         -21 = -35y        Divide each side by -35

            y = 21/35      Divide numerator and denominator by 7

            y = ⅗

Check:

3×4 – 7/(⅗) = 1/3

  12 -7×5/3  = 1/3

    12 – 35/3 = 1/3

(36 – 35)/3 = 1/3

               1/3 = 1/3