3y+6=2(y-4)

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

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

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

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

Solving
6 + 3y = -8 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
6 + 3y + -2y = -8 + 2y + -2y

Combine like terms: 3y + -2y = 1y
6 + 1y = -8 + 2y + -2y

Combine like terms: 2y + -2y = 0
6 + 1y = -8 + 0
6 + 1y = -8

Add '-6' to each side of the equation.
6 + -6 + 1y = -8 + -6

Combine like terms: 6 + -6 = 0
0 + 1y = -8 + -6
1y = -8 + -6

Combine like terms: -8 + -6 = -14
1y = -14

Divide each side by '1'.
y = -14

Simplifying
y = -14