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. 

The question is kind of confusing. if it's asking how many variations of answers can you give. then do 4^5 for your answer.this would be something like the first question could be a and the 2nd c or first b next c etc. if you can, ask the teacher for a better confirmation of what it's asking. if i'm assuming correctly what it's asking, it's 625 different variations.