Question

3(y - 5)/4 -4y = 3- (y - 3)/2

Answer 1

3y-15/4 -4y= 3-(y-3)/2
3y-15-16y/4= 6-y+3/2
-13y-15/2= 9-y
-13y-15= 2(9-y)
-13y-15= 18-2y
11y= -33
y= -3

Answer 2

Answer:

The value of y=-3.

Step-by-step explanation:

Given : Equation $\frac{3(y-5)}{4}-4y=3-\frac{y-3}{2}$

To find : Solve the equation ?

Solution :

Step 1 - Write the equation,

$\frac{3(y-5)}{4}-4y=3-\frac{y-3}{2}$

Step 2 - Take LCM,

$\frac{3(y-5)-16y}{4}=\frac{6-(y-3)}{2}$

Step 3 - Solve the numerators,

$\frac{3y-15-16y}{4}=\frac{6-y+3}{2}$

$\frac{-13y-15}{4}=\frac{9-y}{2}$

Step 4 - Cross multiply,

$2(-13y-15)=4(9-y)$

$-26y-30=36-4y$

$-26y+4y=36+30$

$-22y=66$

$y=-\frac{66}{22}$

$y=-3$

Therefore, The value of y=-3.