2=2y+4(y-4)

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


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

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

Reorder the terms:
2 = -16 + 2y + 4y

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

Solving
2 = -16 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
2 + -6y = -16 + 6y + -6y

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

Add '-2' to each side of the equation.
2 + -2 + -6y = -16 + -2

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

Combine like terms: -16 + -2 = -18
-6y = -18

Divide each side by '-6'.
y = 3

Simplifying
y = 3

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