Y+4-8y=-5(y-4)

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Solution for Y+4-8y=-5(y-4) equation: 


Simplifying
Y + 4 + -8y = -5(y + -4)

Reorder the terms:
4 + Y + -8y = -5(y + -4)

Reorder the terms:
4 + Y + -8y = -5(-4 + y)
4 + Y + -8y = (-4 * -5 + y * -5)
4 + Y + -8y = (20 + -5y)

Solving
4 + Y + -8y = 20 + -5y

Solving for variable 'Y'.

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

Add '-4' to each side of the equation.
4 + Y + -4 + -8y = 20 + -4 + -5y

Reorder the terms:
4 + -4 + Y + -8y = 20 + -4 + -5y

Combine like terms: 4 + -4 = 0
0 + Y + -8y = 20 + -4 + -5y
Y + -8y = 20 + -4 + -5y

Combine like terms: 20 + -4 = 16
Y + -8y = 16 + -5y

Add '8y' to each side of the equation.
Y + -8y + 8y = 16 + -5y + 8y

Combine like terms: -8y + 8y = 0
Y + 0 = 16 + -5y + 8y
Y = 16 + -5y + 8y

Combine like terms: -5y + 8y = 3y
Y = 16 + 3y

Simplifying
Y = 16 + 3y

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