-2(4y-5)-y=-2(y-3)

Solution for -2(4y-5)-y=-2(y-3) equation:

Simplifying
-2(4y + -5) + -1y = -2(y + -3)

Reorder the terms:
-2(-5 + 4y) + -1y = -2(y + -3)
(-5 * -2 + 4y * -2) + -1y = -2(y + -3)
(10 + -8y) + -1y = -2(y + -3)

Combine like terms: -8y + -1y = -9y
10 + -9y = -2(y + -3)

Reorder the terms:
10 + -9y = -2(-3 + y)
10 + -9y = (-3 * -2 + y * -2)
10 + -9y = (6 + -2y)

Solving
10 + -9y = 6 + -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.
10 + -9y + 2y = 6 + -2y + 2y

Combine like terms: -9y + 2y = -7y
10 + -7y = 6 + -2y + 2y

Combine like terms: -2y + 2y = 0
10 + -7y = 6 + 0
10 + -7y = 6

Add '-10' to each side of the equation.
10 + -10 + -7y = 6 + -10

Combine like terms: 10 + -10 = 0
0 + -7y = 6 + -10
-7y = 6 + -10

Combine like terms: 6 + -10 = -4
-7y = -4

Divide each side by '-7'.
y = 0.5714285714

Simplifying
y = 0.5714285714