3(y+2)=-2(8y-6)+4y

Solution for 3(y+2)=-2(8y-6)+4y equation:

Simplifying
3(y + 2) = -2(8y + -6) + 4y

Reorder the terms:
3(2 + y) = -2(8y + -6) + 4y
(2 * 3 + y * 3) = -2(8y + -6) + 4y
(6 + 3y) = -2(8y + -6) + 4y

Reorder the terms:
6 + 3y = -2(-6 + 8y) + 4y
6 + 3y = (-6 * -2 + 8y * -2) + 4y
6 + 3y = (12 + -16y) + 4y

Combine like terms: -16y + 4y = -12y
6 + 3y = 12 + -12y

Solving
6 + 3y = 12 + -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.
6 + 3y + 12y = 12 + -12y + 12y

Combine like terms: 3y + 12y = 15y
6 + 15y = 12 + -12y + 12y

Combine like terms: -12y + 12y = 0
6 + 15y = 12 + 0
6 + 15y = 12

Add '-6' to each side of the equation.
6 + -6 + 15y = 12 + -6

Combine like terms: 6 + -6 = 0
0 + 15y = 12 + -6
15y = 12 + -6

Combine like terms: 12 + -6 = 6
15y = 6

Divide each side by '15'.
y = 0.4

Simplifying
y = 0.4