8th Grade Algebra 1: y squared - 2/3y + 1/9 = 0

Question

solve  and check solution. I am not sure how to break it down into steps to solve.

 

y² - 2/3y + 1/9 = 0

Answer 1

This is a perfect square!  (y - 1/3)² = 0.  Can you solve for y now?

 

You can check that this is correct by applying the rule (a - b)² = a² - 2ab + b²

using a = y and using b = 1/3.