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

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

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

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

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

Combine like terms: y + 2y = 3y
-6 + 3y = 2(4 + -1x)
-6 + 3y = (4 * 2 + -1x * 2)
-6 + 3y = (8 + -2x)

Solving
-6 + 3y = 8 + -2x

Solving for variable 'y'.

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

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

Combine like terms: -6 + 6 = 0
0 + 3y = 8 + 6 + -2x
3y = 8 + 6 + -2x

Combine like terms: 8 + 6 = 14
3y = 14 + -2x

Divide each side by '3'.
y = 4.666666667 + -0.6666666667x

Simplifying
y = 4.666666667 + -0.6666666667x