2-4(2y-1)=(6-2y)3

Solution for 2-4(2y-1)=(6-2y)3 equation:

Simplifying
2 + -4(2y + -1) = (6 + -2y) * 3

Reorder the terms:
2 + -4(-1 + 2y) = (6 + -2y) * 3
2 + (-1 * -4 + 2y * -4) = (6 + -2y) * 3
2 + (4 + -8y) = (6 + -2y) * 3

Combine like terms: 2 + 4 = 6
6 + -8y = (6 + -2y) * 3

Reorder the terms for easier multiplication:
6 + -8y = 3(6 + -2y)
6 + -8y = (6 * 3 + -2y * 3)
6 + -8y = (18 + -6y)

Solving
6 + -8y = 18 + -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 + -8y + 6y = 18 + -6y + 6y

Combine like terms: -8y + 6y = -2y
6 + -2y = 18 + -6y + 6y

Combine like terms: -6y + 6y = 0
6 + -2y = 18 + 0
6 + -2y = 18

Add '-6' to each side of the equation.
6 + -6 + -2y = 18 + -6

Combine like terms: 6 + -6 = 0
0 + -2y = 18 + -6
-2y = 18 + -6

Combine like terms: 18 + -6 = 12
-2y = 12

Divide each side by '-2'.
y = -6

Simplifying
y = -6