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

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

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

Reorder the terms:
3 + 2y + -6y = 1 + -2(y + -1)

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

Reorder the terms:
3 + -4y = 1 + -2(-1 + y)
3 + -4y = 1 + (-1 * -2 + y * -2)
3 + -4y = 1 + (2 + -2y)

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

Add '-3' to each side of the equation.
3 + -3 + -4y = 3 + -3 + -2y

Combine like terms: 3 + -3 = 0
0 + -4y = 3 + -3 + -2y
-4y = 3 + -3 + -2y

Combine like terms: 3 + -3 = 0
-4y = 0 + -2y
-4y = -2y

Solving
-4y = -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
-4y + 2y = -2y + 2y

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

Combine like terms: -2y + 2y = 0
-2y = 0

Divide each side by '-2'.
y = 0

Simplifying
y = 0