6+3(2y-4)-3(4y+5)-9=

Solution for 6+3(2y-4)-3(4y+5)-9= equation:

Simplifying
6 + 3(2y + -4) + -3(4y + 5) + -9 = 0

Reorder the terms:
6 + 3(-4 + 2y) + -3(4y + 5) + -9 = 0
6 + (-4 * 3 + 2y * 3) + -3(4y + 5) + -9 = 0
6 + (-12 + 6y) + -3(4y + 5) + -9 = 0

Reorder the terms:
6 + -12 + 6y + -3(5 + 4y) + -9 = 0
6 + -12 + 6y + (5 * -3 + 4y * -3) + -9 = 0
6 + -12 + 6y + (-15 + -12y) + -9 = 0

Reorder the terms:
6 + -12 + -15 + -9 + 6y + -12y = 0

Combine like terms: 6 + -12 = -6
-6 + -15 + -9 + 6y + -12y = 0

Combine like terms: -6 + -15 = -21
-21 + -9 + 6y + -12y = 0

Combine like terms: -21 + -9 = -30
-30 + 6y + -12y = 0

Combine like terms: 6y + -12y = -6y
-30 + -6y = 0

Solving
-30 + -6y = 0

Solving for variable 'y'.

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

Add '30' to each side of the equation.
-30 + 30 + -6y = 0 + 30

Combine like terms: -30 + 30 = 0
0 + -6y = 0 + 30
-6y = 0 + 30

Combine like terms: 0 + 30 = 30
-6y = 30

Divide each side by '-6'.
y = -5

Simplifying
y = -5