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

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

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

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

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

Reorder the terms:
-6 + 3y = 4 + 6 + 3y + 6y

Combine like terms: 4 + 6 = 10
-6 + 3y = 10 + 3y + 6y

Combine like terms: 3y + 6y = 9y
-6 + 3y = 10 + 9y

Solving
-6 + 3y = 10 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
-6 + 3y + -9y = 10 + 9y + -9y

Combine like terms: 3y + -9y = -6y
-6 + -6y = 10 + 9y + -9y

Combine like terms: 9y + -9y = 0
-6 + -6y = 10 + 0
-6 + -6y = 10

Add '6' to each side of the equation.
-6 + 6 + -6y = 10 + 6

Combine like terms: -6 + 6 = 0
0 + -6y = 10 + 6
-6y = 10 + 6

Combine like terms: 10 + 6 = 16
-6y = 16

Divide each side by '-6'.
y = -2.666666667

Simplifying
y = -2.666666667