-2(2y-5)-y=-2(y-2)

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


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

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

Combine like terms: -4y + -1y = -5y
10 + -5y = -2(y + -2)

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

Solving
10 + -5y = 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.
10 + -5y + 2y = 4 + -2y + 2y

Combine like terms: -5y + 2y = -3y
10 + -3y = 4 + -2y + 2y

Combine like terms: -2y + 2y = 0
10 + -3y = 4 + 0
10 + -3y = 4

Add '-10' to each side of the equation.
10 + -10 + -3y = 4 + -10

Combine like terms: 10 + -10 = 0
0 + -3y = 4 + -10
-3y = 4 + -10

Combine like terms: 4 + -10 = -6
-3y = -6

Divide each side by '-3'.
y = 2

Simplifying
y = 2

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