6(y+4)=2y-8

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Solution for 6(y+4)=2y-8 equation:


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

Reorder the terms:
6(4 + y) = 2y + -8
(4 * 6 + y * 6) = 2y + -8
(24 + 6y) = 2y + -8

Reorder the terms:
24 + 6y = -8 + 2y

Solving
24 + 6y = -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.
24 + 6y + -2y = -8 + 2y + -2y

Combine like terms: 6y + -2y = 4y
24 + 4y = -8 + 2y + -2y

Combine like terms: 2y + -2y = 0
24 + 4y = -8 + 0
24 + 4y = -8

Add '-24' to each side of the equation.
24 + -24 + 4y = -8 + -24

Combine like terms: 24 + -24 = 0
0 + 4y = -8 + -24
4y = -8 + -24

Combine like terms: -8 + -24 = -32
4y = -32

Divide each side by '4'.
y = -8

Simplifying
y = -8

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