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

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


Simplifying
(Y + -4) + -1(y + 4) = 8y

Reorder the terms:
(-4 + Y) + -1(y + 4) = 8y

Remove parenthesis around (-4 + Y)
-4 + Y + -1(y + 4) = 8y

Reorder the terms:
-4 + Y + -1(4 + y) = 8y
-4 + Y + (4 * -1 + y * -1) = 8y
-4 + Y + (-4 + -1y) = 8y

Reorder the terms:
-4 + -4 + Y + -1y = 8y

Combine like terms: -4 + -4 = -8
-8 + Y + -1y = 8y

Solving
-8 + Y + -1y = 8y

Solving for variable 'Y'.

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

Add '8' to each side of the equation.
-8 + Y + 8 + -1y = 8 + 8y

Reorder the terms:
-8 + 8 + Y + -1y = 8 + 8y

Combine like terms: -8 + 8 = 0
0 + Y + -1y = 8 + 8y
Y + -1y = 8 + 8y

Add 'y' to each side of the equation.
Y + -1y + y = 8 + 8y + y

Combine like terms: -1y + y = 0
Y + 0 = 8 + 8y + y
Y = 8 + 8y + y

Combine like terms: 8y + y = 9y
Y = 8 + 9y

Simplifying
Y = 8 + 9y

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