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

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

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

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

Combine like terms: -8y + -1y = -9y
6 + -9y = -2(y + -2)

Reorder the terms:
6 + -9y = -2(-2 + y)
6 + -9y = (-2 * -2 + y * -2)
6 + -9y = (4 + -2y)

Solving
6 + -9y = 4 + -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.
6 + -9y + 2y = 4 + -2y + 2y

Combine like terms: -9y + 2y = -7y
6 + -7y = 4 + -2y + 2y

Combine like terms: -2y + 2y = 0
6 + -7y = 4 + 0
6 + -7y = 4

Add '-6' to each side of the equation.
6 + -6 + -7y = 4 + -6

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

Combine like terms: 4 + -6 = -2
-7y = -2

Divide each side by '-7'.
y = 0.2857142857

Simplifying
y = 0.2857142857