Y-4(y-5)=(8y+15)-4

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Solution for Y-4(y-5)=(8y+15)-4 equation: 


Simplifying
Y + -4(y + -5) = (8y + 15) + -4

Reorder the terms:
Y + -4(-5 + y) = (8y + 15) + -4
Y + (-5 * -4 + y * -4) = (8y + 15) + -4
Y + (20 + -4y) = (8y + 15) + -4

Reorder the terms:
20 + Y + -4y = (8y + 15) + -4

Reorder the terms:
20 + Y + -4y = (15 + 8y) + -4

Remove parenthesis around (15 + 8y)
20 + Y + -4y = 15 + 8y + -4

Reorder the terms:
20 + Y + -4y = 15 + -4 + 8y

Combine like terms: 15 + -4 = 11
20 + Y + -4y = 11 + 8y

Solving
20 + Y + -4y = 11 + 8y

Solving for variable 'Y'.

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

Add '-20' to each side of the equation.
20 + Y + -20 + -4y = 11 + -20 + 8y

Reorder the terms:
20 + -20 + Y + -4y = 11 + -20 + 8y

Combine like terms: 20 + -20 = 0
0 + Y + -4y = 11 + -20 + 8y
Y + -4y = 11 + -20 + 8y

Combine like terms: 11 + -20 = -9
Y + -4y = -9 + 8y

Add '4y' to each side of the equation.
Y + -4y + 4y = -9 + 8y + 4y

Combine like terms: -4y + 4y = 0
Y + 0 = -9 + 8y + 4y
Y = -9 + 8y + 4y

Combine like terms: 8y + 4y = 12y
Y = -9 + 12y

Simplifying
Y = -9 + 12y

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