(y-11)-(y+10)=8y

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Solution for (y-11)-(y+10)=8y equation:


Simplifying
(y + -11) + -1(y + 10) = 8y

Reorder the terms:
(-11 + y) + -1(y + 10) = 8y

Remove parenthesis around (-11 + y)
-11 + y + -1(y + 10) = 8y

Reorder the terms:
-11 + y + -1(10 + y) = 8y
-11 + y + (10 * -1 + y * -1) = 8y
-11 + y + (-10 + -1y) = 8y

Reorder the terms:
-11 + -10 + y + -1y = 8y

Combine like terms: -11 + -10 = -21
-21 + y + -1y = 8y

Combine like terms: y + -1y = 0
-21 + 0 = 8y
-21 = 8y

Solving
-21 = 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
-21 + -8y = 8y + -8y

Combine like terms: 8y + -8y = 0
-21 + -8y = 0

Add '21' to each side of the equation.
-21 + 21 + -8y = 0 + 21

Combine like terms: -21 + 21 = 0
0 + -8y = 0 + 21
-8y = 0 + 21

Combine like terms: 0 + 21 = 21
-8y = 21

Divide each side by '-8'.
y = -2.625

Simplifying
y = -2.625

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