Question

Y-4
$y - 4 \div 3 + 3y = 4$
​

Answer 1

Answer:

$\frac{y - 4}{3 - 3y} = 4 \\ \\ y - 4 = 4(3 - 3y) \\ \\ y - 4 = 12 - 12y \\ \\ y + 12y = 12 + 4 \\ \\ 13y = 16 \\ \\ y = \frac{16}{13}$

Answer 2

Answer:

$\sf{y = {\dfrac{4}{3}} \ \ Or \ \ y = {\dfrac{- 16}{11}}}$

Step-by-step explanation:

Given : $\sf{y - {\dfrac{4}{3}} + 3y = 4}$

$\succ \sf{y + 3y - {\dfrac{4}{3}} = 4}$

$\succ \sf{4y - {\dfrac{4}{3}} = 4}$

$\succ \sf{4y = 4 + {\dfrac{4}{3}}}$

$\succ \sf{4y = {\dfrac{4(3) + 4}{3}}}$

$\succ \sf{4y = {\dfrac{16}{3}}}$

$\succ \sf{y = {\dfrac{16}{3 × 4}}}$

$\succ \sf{y = {\dfrac{4}{3}}}$

Or

Given : $\sf{ {\dfrac{y - 4}{3 + 3y}} = 4}$

Cross multiplication, we get

$\succ \sf{y - 4 = 4(3 + 3y)}$

$\succ \sf{y - 4 = 12 + 12y}$

$\succ \sf{y - 12y = 12 + 4}$

$\succ \sf{- 11y = 16}$

$\succ \sf{y = {\dfrac{- 16}{11}}}$