9y-3(y-2)=2(y+4)+4

Solution for 9y-3(y-2)=2(y+4)+4 equation:

Simplifying
9y + -3(y + -2) = 2(y + 4) + 4

Reorder the terms:
9y + -3(-2 + y) = 2(y + 4) + 4
9y + (-2 * -3 + y * -3) = 2(y + 4) + 4
9y + (6 + -3y) = 2(y + 4) + 4

Reorder the terms:
6 + 9y + -3y = 2(y + 4) + 4

Combine like terms: 9y + -3y = 6y
6 + 6y = 2(y + 4) + 4

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

Reorder the terms:
6 + 6y = 8 + 4 + 2y

Combine like terms: 8 + 4 = 12
6 + 6y = 12 + 2y

Solving
6 + 6y = 12 + 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 + 6y + -2y = 12 + 2y + -2y

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

Combine like terms: 2y + -2y = 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