Which steps can be used to solve for the value of y 2/3(y+57)=178

Allow me to demonstrate:

You have said:                  2/3 (y + 57)  =  178

Multiply each side by  3 :    2  (y + 57)  =  534

Divide each side by  2 :            y + 57  =  267

Subtract  57  from each side:     y         =  210

And there you see a series of steps that can be used
to solve the given equation for the value of 'y'.  
There are others, but all lead to the same result.