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

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

Simplifying
6(1 + -3y) = -2(3y)
(1 * 6 + -3y * 6) = -2(3y)
(6 + -18y) = -2(3y)

Remove parenthesis around (3y)
6 + -18y = -2 * 3y

Multiply -2 * 3
6 + -18y = -6y

Solving
6 + -18y = -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 + -18y + 6y = -6y + 6y

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

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

Add '-6' to each side of the equation.
6 + -6 + -12y = 0 + -6

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

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

Divide each side by '-12'.
y = 0.5

Simplifying
y = 0.5