-4(y-2)=-5y

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


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

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

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

Combine like terms: -4y + 5y = 1y
8 + 1y = -5y + 5y

Combine like terms: -5y + 5y = 0
8 + 1y = 0

Add '-8' to each side of the equation.
8 + -8 + 1y = 0 + -8

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

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

Divide each side by '1'.
y = -8

Simplifying
y = -8

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