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

Solution for -3(4y-1)+3y=3(y+2) equation:

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

Reorder the terms:
-3(-1 + 4y) + 3y = 3(y + 2)
(-1 * -3 + 4y * -3) + 3y = 3(y + 2)
(3 + -12y) + 3y = 3(y + 2)

Combine like terms: -12y + 3y = -9y
3 + -9y = 3(y + 2)

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

Solving
3 + -9y = 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.
3 + -9y + -3y = 6 + 3y + -3y

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

Combine like terms: 3y + -3y = 0
3 + -12y = 6 + 0
3 + -12y = 6

Add '-3' to each side of the equation.
3 + -3 + -12y = 6 + -3

Combine like terms: 3 + -3 = 0
0 + -12y = 6 + -3
-12y = 6 + -3

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

Divide each side by '-12'.
y = -0.25

Simplifying
y = -0.25