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

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

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

Reorder the terms:
2(3 + 9y) = 2(6y + -3)
(3 * 2 + 9y * 2) = 2(6y + -3)
(6 + 18y) = 2(6y + -3)

Reorder the terms:
6 + 18y = 2(-3 + 6y)
6 + 18y = (-3 * 2 + 6y * 2)
6 + 18y = (-6 + 12y)

Solving
6 + 18y = -6 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
6 + 18y + -12y = -6 + 12y + -12y

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

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

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

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

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

Divide each side by '6'.
y = -2

Simplifying
y = -2