2(y-k)=2y+8

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Solution for 2(y-k)=2y+8 equation: 


Simplifying
2(y + -1k) = 2y + 8

Reorder the terms:
2(-1k + y) = 2y + 8
(-1k * 2 + y * 2) = 2y + 8
(-2k + 2y) = 2y + 8

Reorder the terms:
-2k + 2y = 8 + 2y

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

Combine like terms: 2y + -2y = 0
-2k + 0 = 8 + 2y + -2y
-2k = 8 + 2y + -2y

Combine like terms: 2y + -2y = 0
-2k = 8 + 0
-2k = 8

Solving
-2k = 8

Solving for variable 'k'.

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

Divide each side by '-2'.
k = -4

Simplifying
k = -4

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