4(y-2)=16-2y

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Solution for 4(y-2)=16-2y equation:


Simplifying
4(y + -2) = 16 + -2y

Reorder the terms:
4(-2 + y) = 16 + -2y
(-2 * 4 + y * 4) = 16 + -2y
(-8 + 4y) = 16 + -2y

Solving
-8 + 4y = 16 + -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.
-8 + 4y + 2y = 16 + -2y + 2y

Combine like terms: 4y + 2y = 6y
-8 + 6y = 16 + -2y + 2y

Combine like terms: -2y + 2y = 0
-8 + 6y = 16 + 0
-8 + 6y = 16

Add '8' to each side of the equation.
-8 + 8 + 6y = 16 + 8

Combine like terms: -8 + 8 = 0
0 + 6y = 16 + 8
6y = 16 + 8

Combine like terms: 16 + 8 = 24
6y = 24

Divide each side by '6'.
y = 4

Simplifying
y = 4

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