Question

check your answer 1/6(4y+5)-2/3(2y+7)=3/2​

Answer 1

Answer:

y = -8

Step-by-step explanation:

$\implies \dfrac{1}{6} ( 4y + 5 ) - \dfrac{2}{3} ( 2y + 7 ) = \dfrac{3}{2}\\\\\\\implies \dfrac{ 4y + 5 }{6} - \dfrac{4y + 14}{3} = \dfrac{3}{2}\\\\\text{Taking LCM we get,}\\\\\implies \dfrac{4y+ 5- 8y-28}{6} = \dfrac{3}{2}\\\\\implies \dfrac{-23-4y}{6} = \dfrac{3}{2}$

$\text{Cross Multiplying we get,}\\\\\implies 2 ( -23-4y ) = 6 ( 3 )\\\\\implies -46 - 8y = 18\\\\\implies -8y = 18 + 46\\\\\implies -8y = 64\\\\\implies y = \dfrac{64}{-8} = -8$

Therefore the value of 'y' is -8.

Hope it helped !!

Have a great day :)

Answer 2

Answer in the attachment