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

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


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

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

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

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

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

Solving
-8 + 2y = 2 + 4y

Solving for variable 'y'.

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

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

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

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

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

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

Combine like terms: 2 + 8 = 10
-2y = 10

Divide each side by '-2'.
y = -5

Simplifying
y = -5

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