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

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


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

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

Reorder the terms:
-8 + 2y = 6(2 + y)
-8 + 2y = (2 * 6 + y * 6)
-8 + 2y = (12 + 6y)

Solving
-8 + 2y = 12 + 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.
-8 + 2y + -6y = 12 + 6y + -6y

Combine like terms: 2y + -6y = -4y
-8 + -4y = 12 + 6y + -6y

Combine like terms: 6y + -6y = 0
-8 + -4y = 12 + 0
-8 + -4y = 12

Add '8' to each side of the equation.
-8 + 8 + -4y = 12 + 8

Combine like terms: -8 + 8 = 0
0 + -4y = 12 + 8
-4y = 12 + 8

Combine like terms: 12 + 8 = 20
-4y = 20

Divide each side by '-4'.
y = -5

Simplifying
y = -5

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