6(1-2y)=-2(-3y)

Solution for 6(1-2y)=-2(-3y) equation:

Simplifying
6(1 + -2y) = -2(-3y)
(1 * 6 + -2y * 6) = -2(-3y)
(6 + -12y) = -2(-3y)

Remove parenthesis around (-3y)
6 + -12y = -2 * -3y

Multiply -2 * -3
6 + -12y = 6y

Solving
6 + -12y = 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 + -12y + -6y = 6y + -6y

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

Combine like terms: 6y + -6y = 0
6 + -18y = 0

Add '-6' to each side of the equation.
6 + -6 + -18y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -18y = 0 + -6
-18y = 0 + -6

Combine like terms: 0 + -6 = -6
-18y = -6

Divide each side by '-18'.
y = 0.3333333333

Simplifying
y = 0.3333333333