Question

y-6/4=2y/5-7(y+3)/20

Answer 1

Step-by-step explanation:

$\bf \underline{Given-}$

$\sf{ \frac{y - 6}{4} = \frac{2y}{5} - \frac{7(y + 3)}{20} }$

$\bf \underline{To\: find-}$

$\textsf{the values of y = ?}$

$\bf \underline{Solution-}$

$\sf\{\dfrac{y - 6}{4} = \dfrac{2y}{5} - \dfrac{7(y + 3)}{20}$

$\sf\longrightarrow \dfrac{y - 6}{4} = \dfrac{2y}{5} - \dfrac{7y + 21}{20}$

$\sf\longrightarrow \dfrac{y - 6}{4} = \dfrac{8y - (7y + 21)}{20}$

$\sf\longrightarrow \dfrac{y - 6}{4} = \dfrac{8y - 7y - 21}{20}$

$\sf\longrightarrow \dfrac{y - 6}{4} = \dfrac{y - 21}{20}$

$\boxed{\sf Cross \: multiplying \: the \: terms}$

$\sf\longrightarrow 20(y - 6) = 4(y - 21)$

$\sf\longrightarrow 20y - 120 = 4y - 84$

$\sf\longrightarrow 20y - 4y = - 84 + 120$

$\sf\longrightarrow 16y = 36$

$\sf\longrightarrow y = \dfrac{36}{16}$

$\boxed{\underline{\sf \therefore y = \dfrac{9}{4}}}$