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

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


Simplifying
6(y + -4) = 2(y + -4) + -8(2 + -1y)

Reorder the terms:
6(-4 + y) = 2(y + -4) + -8(2 + -1y)
(-4 * 6 + y * 6) = 2(y + -4) + -8(2 + -1y)
(-24 + 6y) = 2(y + -4) + -8(2 + -1y)

Reorder the terms:
-24 + 6y = 2(-4 + y) + -8(2 + -1y)
-24 + 6y = (-4 * 2 + y * 2) + -8(2 + -1y)
-24 + 6y = (-8 + 2y) + -8(2 + -1y)
-24 + 6y = -8 + 2y + (2 * -8 + -1y * -8)
-24 + 6y = -8 + 2y + (-16 + 8y)

Reorder the terms:
-24 + 6y = -8 + -16 + 2y + 8y

Combine like terms: -8 + -16 = -24
-24 + 6y = -24 + 2y + 8y

Combine like terms: 2y + 8y = 10y
-24 + 6y = -24 + 10y

Add '24' to each side of the equation.
-24 + 24 + 6y = -24 + 24 + 10y

Combine like terms: -24 + 24 = 0
0 + 6y = -24 + 24 + 10y
6y = -24 + 24 + 10y

Combine like terms: -24 + 24 = 0
6y = 0 + 10y
6y = 10y

Solving
6y = 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
6y + -10y = 10y + -10y

Combine like terms: 6y + -10y = -4y
-4y = 10y + -10y

Combine like terms: 10y + -10y = 0
-4y = 0

Divide each side by '-4'.
y = 0

Simplifying
y = 0

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