6(1-2y)=12(3y)

Solution for 6(1-2y)=12(3y) equation:

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

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

Multiply 12 * 3
6 + -12y = 36y

Solving
6 + -12y = 36y

Solving for variable 'y'.

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

Add '-36y' to each side of the equation.
6 + -12y + -36y = 36y + -36y

Combine like terms: -12y + -36y = -48y
6 + -48y = 36y + -36y

Combine like terms: 36y + -36y = 0
6 + -48y = 0

Add '-6' to each side of the equation.
6 + -6 + -48y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -48y = 0 + -6
-48y = 0 + -6

Combine like terms: 0 + -6 = -6
-48y = -6

Divide each side by '-48'.
y = 0.125

Simplifying
y = 0.125