Y+12-7y=-5(y-4)

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Solution for Y+12-7y=-5(y-4) equation: 


Simplifying
Y + 12 + -7y = -5(y + -4)

Reorder the terms:
12 + Y + -7y = -5(y + -4)

Reorder the terms:
12 + Y + -7y = -5(-4 + y)
12 + Y + -7y = (-4 * -5 + y * -5)
12 + Y + -7y = (20 + -5y)

Solving
12 + Y + -7y = 20 + -5y

Solving for variable 'Y'.

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

Add '-12' to each side of the equation.
12 + Y + -12 + -7y = 20 + -12 + -5y

Reorder the terms:
12 + -12 + Y + -7y = 20 + -12 + -5y

Combine like terms: 12 + -12 = 0
0 + Y + -7y = 20 + -12 + -5y
Y + -7y = 20 + -12 + -5y

Combine like terms: 20 + -12 = 8
Y + -7y = 8 + -5y

Add '7y' to each side of the equation.
Y + -7y + 7y = 8 + -5y + 7y

Combine like terms: -7y + 7y = 0
Y + 0 = 8 + -5y + 7y
Y = 8 + -5y + 7y

Combine like terms: -5y + 7y = 2y
Y = 8 + 2y

Simplifying
Y = 8 + 2y

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