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

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

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

Remove parenthesis around (3 + -1y)
3 + -1y = 6 + -2(1 + -3y)
3 + -1y = 6 + (1 * -2 + -3y * -2)
3 + -1y = 6 + (-2 + 6y)

Combine like terms: 6 + -2 = 4
3 + -1y = 4 + 6y

Solving
3 + -1y = 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.
3 + -1y + -6y = 4 + 6y + -6y

Combine like terms: -1y + -6y = -7y
3 + -7y = 4 + 6y + -6y

Combine like terms: 6y + -6y = 0
3 + -7y = 4 + 0
3 + -7y = 4

Add '-3' to each side of the equation.
3 + -3 + -7y = 4 + -3

Combine like terms: 3 + -3 = 0
0 + -7y = 4 + -3
-7y = 4 + -3

Combine like terms: 4 + -3 = 1
-7y = 1

Divide each side by '-7'.
y = -0.1428571429

Simplifying
y = -0.1428571429