-2(y-2)=-5y-8

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Solution for -2(y-2)=-5y-8 equation: 


Simplifying
-2(y + -2) = -5y + -8

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

Reorder the terms:
4 + -2y = -8 + -5y

Solving
4 + -2y = -8 + -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
4 + -2y + 5y = -8 + -5y + 5y

Combine like terms: -2y + 5y = 3y
4 + 3y = -8 + -5y + 5y

Combine like terms: -5y + 5y = 0
4 + 3y = -8 + 0
4 + 3y = -8

Add '-4' to each side of the equation.
4 + -4 + 3y = -8 + -4

Combine like terms: 4 + -4 = 0
0 + 3y = -8 + -4
3y = -8 + -4

Combine like terms: -8 + -4 = -12
3y = -12

Divide each side by '3'.
y = -4

Simplifying
y = -4

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