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solve 2-2/3y=2/9-y/3+5/9

solve equation show work and step by step prcocess
 

2-2/3y=2/9-y/3+5/9

2 - 2/3y = 2/9 - y/3 + 5/9

= 2/9 - y/3 + 5/9 - 2 + 2/3y

the LCD = 9y

= [2(y) - y(3y) + 5(y) - 2(9y) + 2(3)] / 9y

2/9 => 9 ÷ 9y = y => y x 2 = 2(y) <= one example & applies to all

= [2y - 3y² + 5y - 18y + 6] / 9y

= [2y - 3y² + 5y - 18y + 6] / 9y

combine:

= (- 3y² - 11y + 6) / 9y

factor out  (-)

= -(3y² + 11y - 6) / 9y  ◄ Ans

by Level 3 User (2.7k points)

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