9.6-2(4.5y+3)=1.2(3y-3)+3y

Solution for 9.6-2(4.5y+3)=1.2(3y-3)+3y equation:

Simplifying
9.6 + -2(4.5y + 3) = 1.2(3y + -3) + 3y

Reorder the terms:
9.6 + -2(3 + 4.5y) = 1.2(3y + -3) + 3y
9.6 + (3 * -2 + 4.5y * -2) = 1.2(3y + -3) + 3y
9.6 + (-6 + -9y) = 1.2(3y + -3) + 3y

Combine like terms: 9.6 + -6 = 3.6
3.6 + -9y = 1.2(3y + -3) + 3y

Reorder the terms:
3.6 + -9y = 1.2(-3 + 3y) + 3y
3.6 + -9y = (-3 * 1.2 + 3y * 1.2) + 3y
3.6 + -9y = (-3.6 + 3.6y) + 3y

Combine like terms: 3.6y + 3y = 6.6y
3.6 + -9y = -3.6 + 6.6y

Solving
3.6 + -9y = -3.6 + 6.6y

Solving for variable 'y'.

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

Add '-6.6y' to each side of the equation.
3.6 + -9y + -6.6y = -3.6 + 6.6y + -6.6y

Combine like terms: -9y + -6.6y = -15.6y
3.6 + -15.6y = -3.6 + 6.6y + -6.6y

Combine like terms: 6.6y + -6.6y = 0.0
3.6 + -15.6y = -3.6 + 0.0
3.6 + -15.6y = -3.6

Add '-3.6' to each side of the equation.
3.6 + -3.6 + -15.6y = -3.6 + -3.6

Combine like terms: 3.6 + -3.6 = 0.0
0.0 + -15.6y = -3.6 + -3.6
-15.6y = -3.6 + -3.6

Combine like terms: -3.6 + -3.6 = -7.2
-15.6y = -7.2

Divide each side by '-15.6'.
y = 0.4615384615

Simplifying
y = 0.4615384615