2y-4(y-2)=1-(y+2)

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

Simplifying
2y + -4(y + -2) = 1 + -1(y + 2)

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

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

Combine like terms: 2y + -4y = -2y
8 + -2y = 1 + -1(y + 2)

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

Combine like terms: 1 + -2 = -1
8 + -2y = -1 + -1y

Solving
8 + -2y = -1 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
8 + -2y + y = -1 + -1y + y

Combine like terms: -2y + y = -1y
8 + -1y = -1 + -1y + y

Combine like terms: -1y + y = 0
8 + -1y = -1 + 0
8 + -1y = -1

Add '-8' to each side of the equation.
8 + -8 + -1y = -1 + -8

Combine like terms: 8 + -8 = 0
0 + -1y = -1 + -8
-1y = -1 + -8

Combine like terms: -1 + -8 = -9
-1y = -9

Divide each side by '-1'.
y = 9

Simplifying
y = 9