3/4y-6=1/4y+10

Question

Equations with fractions.

3/4y-6=1/4y+10

Answer 1

if you mean 3/(4y) - 6 = 1/(4y) + 10

 

here it is:

 

3/(4y) - 1/(4y) = 10 + 6

 

2/(4y) = 16

 

multiply both sides by 4y:

 

2 = 16 * 4y

 

2 = 64y

 

divide both sides by 64:

 

2/64 = y       ----> y = 1/32

 

if you mean (3/4)y - 6 = (1/4)y + 10

 

here it is:

 

(3/4)y - (1/4)y = 10 + 6

 

(2/4)y = 16 ----> (1/2)y = 16  

 

multiply both sides of (1/2)y = 16 by 2:

 

y = 32

 

Answer 2

(3/4y) - 6 = (1/4y) + 10

 

Multiply both sides by 4y:

 

3 - 24y = 1 + 40y

 

Add 24y to both sides:

 

3 = 1 + 64y

 

Subtract 1 from each side:

 

2 = 64y

 

y = 2/64 = 1/32

 

 

Answer 3

          3/4y - 6 = 1/4y + 10

3/4y - 1/4y - 6 = 10

               2/4y = 10 + 6

               1/2y = 16

                    y = 32