3/4k + 1 + 2k = 3/8 – 2k + 2k (add 2k to both sides)

3/4k + 1 + 2k -1 = 3/8 -1 (subtract 1 from both sides)

3/4k + 2k = 3/8 – 1 (now have like terms on both sides)

3/4k + 8/4k = 3/8 – 8/8 (establish common denominator on both sides of the equation— [2k = 8/4k] and [1=8/8])

(3+8)4k = (3-8)/8 (add numerators on both sides)

11/4k = -5/8 (finish simplifying)

11/4k * 4/1 = -5/8 * 4/1 (multiply both sides by 4 [ 4/1 = 4])

44/4k = -20/8 (after multiplication)

11k = -20/8 (simplify)

k = (-20/8)/11 (divide both sides by 11)

k = -20/88 (simplify)

k = -5/22 (reduce fraction to get final answer)

8/5y – 2/3y = 23 – 1/15y

8/5y – 2/3y + 1/15y = 23 – 1/15y + 1/15y (add 1/15y to both sides to combine like terms)

8/5y – 2/3y + 1/15y = 23 (after completing above step)

24/15y – 10/15y + 1/15y = 23 (establish common denominator — [8/5 = 24/15] and [10/15=2/3])

(24-10+1)/15y = 23 (combine numerators)

15/15y = 23 (simplify)

Y=23 (final answer)

3/4+1=3/8-2k

First of all collect the like terms,u will be getting something like this,

3/4+2k=1+3/8 , and then simplify it by finding the LCM of the denominators(4 and 8 and the denominators for 2k and 1 is 1 as it is not having any denominator)

After simplification u will b getting something like this

3k+8k/4=-8+3/8

Then cross multiply the numerator and denominator,u will b getting something like this,

11k x 5 and 4 x -5

88k=-20

so, k=-5/22

PROBLEM (2)

Here i am only going to write down the steps as the procedure u must have understood from the previous one.

8/5-2/3y=23-1/15y

find LCM

24-10y+1/15=23

24-10y+1=23 x 15

15y=23 x 15

y=23 x 15/15

ANS=23

11k/4 = -5/8

22k/8 = -5/8

22k = -5

k = -5/22

(8/5)y – (2/3)y = 23 – (1/15)y

Multipy each term by 15

24y – 10y = 23*15 – y

15y = 23*15

y = 23

11k/4 = -5/8

22k/8 = -5/8

22k = -5

k = -5/22

(8/5)y – (2/3)y = 23 – (1/15)y

24y – 10y = 23*15 – y

15y = 23*15

y = 23