2(y+4)=8y-4

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Solution for 2(y+4)=8y-4 equation:


Simplifying
2(y + 4) = 8y + -4

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

Reorder the terms:
8 + 2y = -4 + 8y

Solving
8 + 2y = -4 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
8 + 2y + -8y = -4 + 8y + -8y

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

Combine like terms: 8y + -8y = 0
8 + -6y = -4 + 0
8 + -6y = -4

Add '-8' to each side of the equation.
8 + -8 + -6y = -4 + -8

Combine like terms: 8 + -8 = 0
0 + -6y = -4 + -8
-6y = -4 + -8

Combine like terms: -4 + -8 = -12
-6y = -12

Divide each side by '-6'.
y = 2

Simplifying
y = 2

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