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Tick (✓) the correct answer

Question:

Tick (✓) the correct answer

If $2 y+\frac{5}{3}=\frac{26}{3}-y$, then $y=$ ?

(a) 1

(b) $\frac{2}{3}$

(c) $\frac{6}{5}$

(d) $\frac{7}{3}$

Solution:

(d) $\frac{7}{3}$

$2 y+\frac{5}{3}=\frac{26}{3}-y$

$\Rightarrow \frac{6 y+5}{3}=\frac{26-3 y}{3}$

$\Rightarrow 6 y+5=26-3 y$

$\Rightarrow 6 y+3 y=26-5$

$\Rightarrow 9 y=21$

$\Rightarrow y=\frac{21}{9}=\frac{7}{3}$

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