3(7y-2)=2(4y+1)

Solution for 3(7y-2)=2(4y+1) equation:

Simplifying
3(7y + -2) = 2(4y + 1)

Reorder the terms:
3(-2 + 7y) = 2(4y + 1)
(-2 * 3 + 7y * 3) = 2(4y + 1)
(-6 + 21y) = 2(4y + 1)

Reorder the terms:
-6 + 21y = 2(1 + 4y)
-6 + 21y = (1 * 2 + 4y * 2)
-6 + 21y = (2 + 8y)

Solving
-6 + 21y = 2 + 8y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-8y' to each side of the equation.
-6 + 21y + -8y = 2 + 8y + -8y

Combine like terms: 21y + -8y = 13y
-6 + 13y = 2 + 8y + -8y

Combine like terms: 8y + -8y = 0
-6 + 13y = 2 + 0
-6 + 13y = 2

Add '6' to each side of the equation.
-6 + 6 + 13y = 2 + 6

Combine like terms: -6 + 6 = 0
0 + 13y = 2 + 6
13y = 2 + 6

Combine like terms: 2 + 6 = 8
13y = 8

Divide each side by '13'.
y = 0.6153846154

Simplifying
y = 0.6153846154