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If |9y−6| =3, then y2 −4y/3 is.

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Correct Answer - Option 3 : −1/3

\(\begin{array}{l} \left| {9y - 6} \right| = 3\\ 9y - 6 = \pm 3 \end{array}\)

Case 1:

\(9y - 6 = 3 \Rightarrow y - 1\)

Case 2:

\(9y - 6 = - 3 \Rightarrow y = \frac{1}{3}\)

Substitute \(y = 1\)

\({y^2} - \frac{{4y}}{3} = - \frac{1}{3}\)

Substitute \(y = \frac{1}{3}\)

\({y^2} - \frac{{4y}}{3} = - \frac{1}{3}\)

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