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

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

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

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

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

Solving
6 + -2y = 12 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
6 + -2y + -4y = 12 + 4y + -4y

Combine like terms: -2y + -4y = -6y
6 + -6y = 12 + 4y + -4y

Combine like terms: 4y + -4y = 0
6 + -6y = 12 + 0
6 + -6y = 12

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

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

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

Divide each side by '-6'.
y = -1

Simplifying
y = -1