-2(y-3)=2(-3y)

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

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

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

Remove parenthesis around (-3y)
6 + -2y = 2 * -3y

Multiply 2 * -3
6 + -2y = -6y

Solving
6 + -2y = -6y

Solving for variable 'y'.

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

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

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

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

Add '-6' to each side of the equation.
6 + -6 + 4y = 0 + -6

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

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

Divide each side by '4'.
y = -1.5

Simplifying
y = -1.5