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

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

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

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

Combine like terms: -12y + 9y = -3y
6 + -3y = 6(y + 3)

Reorder the terms:
6 + -3y = 6(3 + y)
6 + -3y = (3 * 6 + y * 6)
6 + -3y = (18 + 6y)

Solving
6 + -3y = 18 + 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 + -3y + -6y = 18 + 6y + -6y

Combine like terms: -3y + -6y = -9y
6 + -9y = 18 + 6y + -6y

Combine like terms: 6y + -6y = 0
6 + -9y = 18 + 0
6 + -9y = 18

Add '-6' to each side of the equation.
6 + -6 + -9y = 18 + -6

Combine like terms: 6 + -6 = 0
0 + -9y = 18 + -6
-9y = 18 + -6

Combine like terms: 18 + -6 = 12
-9y = 12

Divide each side by '-9'.
y = -1.333333333

Simplifying
y = -1.333333333