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

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

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

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

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

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

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

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

Solving
6 + 2y = 12 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
6 + 2y + -6y = 12 + 6y + -6y

Combine like terms: 2y + -6y = -4y
6 + -4y = 12 + 6y + -6y

Combine like terms: 6y + -6y = 0
6 + -4y = 12 + 0
6 + -4y = 12

Add '-6' to each side of the equation.
6 + -6 + -4y = 12 + -6

Combine like terms: 6 + -6 = 0
0 + -4y = 12 + -6
-4y = 12 + -6

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

Divide each side by '-4'.
y = -1.5

Simplifying
y = -1.5