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

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

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

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

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

Combine like terms: 2 + 4 = 6
6 + 3x = 6 + -1y

Add '-6' to each side of the equation.
6 + -6 + 3x = 6 + -6 + -1y

Combine like terms: 6 + -6 = 0
0 + 3x = 6 + -6 + -1y
3x = 6 + -6 + -1y

Combine like terms: 6 + -6 = 0
3x = 0 + -1y
3x = -1y

Solving
3x = -1y

Solving for variable 'x'.

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

Divide each side by '3'.
x = -0.3333333333y

Simplifying
x = -0.3333333333y