Y-4(y-6)=(-6y+11)-3

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Solution for Y-4(y-6)=(-6y+11)-3 equation: 


Simplifying
Y + -4(y + -6) = (-6y + 11) + -3

Reorder the terms:
Y + -4(-6 + y) = (-6y + 11) + -3
Y + (-6 * -4 + y * -4) = (-6y + 11) + -3
Y + (24 + -4y) = (-6y + 11) + -3

Reorder the terms:
24 + Y + -4y = (-6y + 11) + -3

Reorder the terms:
24 + Y + -4y = (11 + -6y) + -3

Remove parenthesis around (11 + -6y)
24 + Y + -4y = 11 + -6y + -3

Reorder the terms:
24 + Y + -4y = 11 + -3 + -6y

Combine like terms: 11 + -3 = 8
24 + Y + -4y = 8 + -6y

Solving
24 + Y + -4y = 8 + -6y

Solving for variable 'Y'.

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

Add '-24' to each side of the equation.
24 + Y + -24 + -4y = 8 + -24 + -6y

Reorder the terms:
24 + -24 + Y + -4y = 8 + -24 + -6y

Combine like terms: 24 + -24 = 0
0 + Y + -4y = 8 + -24 + -6y
Y + -4y = 8 + -24 + -6y

Combine like terms: 8 + -24 = -16
Y + -4y = -16 + -6y

Add '4y' to each side of the equation.
Y + -4y + 4y = -16 + -6y + 4y

Combine like terms: -4y + 4y = 0
Y + 0 = -16 + -6y + 4y
Y = -16 + -6y + 4y

Combine like terms: -6y + 4y = -2y
Y = -16 + -2y

Simplifying
Y = -16 + -2y

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