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

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

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

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

Solving
6 + -2y = 4 + 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 = 4 + 6y + -6y

Combine like terms: -2y + -6y = -8y
6 + -8y = 4 + 6y + -6y

Combine like terms: 6y + -6y = 0
6 + -8y = 4 + 0
6 + -8y = 4

Add '-6' to each side of the equation.
6 + -6 + -8y = 4 + -6

Combine like terms: 6 + -6 = 0
0 + -8y = 4 + -6
-8y = 4 + -6

Combine like terms: 4 + -6 = -2
-8y = -2

Divide each side by '-8'.
y = 0.25

Simplifying
y = 0.25