Solve the following :$13(y–4)–3(y–9)=5(y+4)$

Given :

The given expression is $13(y–4)–3(y–9)=5(y+4)$

To find :

We have to find the value of y.

Solution :

$13(y–4) = 13 y - 52$                        Multiply 13 inside the brackets,

$–3(y–9)  =  -3 y  + 27$                     Multiply $-3$ inside the brackets,

$5(y+4)  =  5 y  +  20$                        Multiply 5 inside the brackets,

$13 y - 52   -3 y  + 27  =  5 y  +  20$

$13 y - 3 y - 5 y = 20 + 52 - 27$                Keep variables on side, and numbers on the other side,

$13 y - 8 y   =  20 + 25$

 $ 5 y  =  45$

 $ y  =  \frac{45}{5}$

 $ y  =  9$

The value of y is 9.

Tutorialspoint

e

Updated on: 10-Oct-2022

40 Views

Kickstart Your Career

Get certified by completing the course

Get Started