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

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

Simplifying
3y + -1(3y + -2) = 6 + 3(y + -4)

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

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

Combine like terms: 3y + -3y = 0
2 + 0 = 6 + 3(y + -4)
2 = 6 + 3(y + -4)

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

Combine like terms: 6 + -12 = -6
2 = -6 + 3y

Solving
2 = -6 + 3y

Solving for variable 'y'.

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

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

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

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

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

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

Divide each side by '-3'.
y = 2.666666667

Simplifying
y = 2.666666667