6(4y-2)=2(6y+3)

Solution for 6(4y-2)=2(6y+3) equation:

Simplifying
6(4y + -2) = 2(6y + 3)

Reorder the terms:
6(-2 + 4y) = 2(6y + 3)
(-2 * 6 + 4y * 6) = 2(6y + 3)
(-12 + 24y) = 2(6y + 3)

Reorder the terms:
-12 + 24y = 2(3 + 6y)
-12 + 24y = (3 * 2 + 6y * 2)
-12 + 24y = (6 + 12y)

Solving
-12 + 24y = 6 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
-12 + 24y + -12y = 6 + 12y + -12y

Combine like terms: 24y + -12y = 12y
-12 + 12y = 6 + 12y + -12y

Combine like terms: 12y + -12y = 0
-12 + 12y = 6 + 0
-12 + 12y = 6

Add '12' to each side of the equation.
-12 + 12 + 12y = 6 + 12

Combine like terms: -12 + 12 = 0
0 + 12y = 6 + 12
12y = 6 + 12

Combine like terms: 6 + 12 = 18
12y = 18

Divide each side by '12'.
y = 1.5

Simplifying
y = 1.5