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

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


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

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

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

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

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

Combine like terms: 2y + -2y = 0
-16 + 2y = 4 + 0
-16 + 2y = 4

Add '16' to each side of the equation.
-16 + 16 + 2y = 4 + 16

Combine like terms: -16 + 16 = 0
0 + 2y = 4 + 16
2y = 4 + 16

Combine like terms: 4 + 16 = 20
2y = 20

Divide each side by '2'.
y = 10

Simplifying
y = 10

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