2y-20=-2(y-4)

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Solution for 2y-20=-2(y-4) equation:


Simplifying
2y + -20 = -2(y + -4)

Reorder the terms:
-20 + 2y = -2(y + -4)

Reorder the terms:
-20 + 2y = -2(-4 + y)
-20 + 2y = (-4 * -2 + y * -2)
-20 + 2y = (8 + -2y)

Solving
-20 + 2y = 8 + -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.
-20 + 2y + 2y = 8 + -2y + 2y

Combine like terms: 2y + 2y = 4y
-20 + 4y = 8 + -2y + 2y

Combine like terms: -2y + 2y = 0
-20 + 4y = 8 + 0
-20 + 4y = 8

Add '20' to each side of the equation.
-20 + 20 + 4y = 8 + 20

Combine like terms: -20 + 20 = 0
0 + 4y = 8 + 20
4y = 8 + 20

Combine like terms: 8 + 20 = 28
4y = 28

Divide each side by '4'.
y = 7

Simplifying
y = 7

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