(Y-11)-(y+8)=8y

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Solution for (Y-11)-(y+8)=8y equation:


Simplifying
(Y + -11) + -1(y + 8) = 8y

Reorder the terms:
(-11 + Y) + -1(y + 8) = 8y

Remove parenthesis around (-11 + Y)
-11 + Y + -1(y + 8) = 8y

Reorder the terms:
-11 + Y + -1(8 + y) = 8y
-11 + Y + (8 * -1 + y * -1) = 8y
-11 + Y + (-8 + -1y) = 8y

Reorder the terms:
-11 + -8 + Y + -1y = 8y

Combine like terms: -11 + -8 = -19
-19 + Y + -1y = 8y

Solving
-19 + Y + -1y = 8y

Solving for variable 'Y'.

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

Add '19' to each side of the equation.
-19 + Y + 19 + -1y = 19 + 8y

Reorder the terms:
-19 + 19 + Y + -1y = 19 + 8y

Combine like terms: -19 + 19 = 0
0 + Y + -1y = 19 + 8y
Y + -1y = 19 + 8y

Add 'y' to each side of the equation.
Y + -1y + y = 19 + 8y + y

Combine like terms: -1y + y = 0
Y + 0 = 19 + 8y + y
Y = 19 + 8y + y

Combine like terms: 8y + y = 9y
Y = 19 + 9y

Simplifying
Y = 19 + 9y

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