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

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


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

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

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

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

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

Combine like terms: -11 + -8 = -19
-19 + y + -1y = 10y

Combine like terms: y + -1y = 0
-19 + 0 = 10y
-19 = 10y

Solving
-19 = 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
-19 + -10y = 10y + -10y

Combine like terms: 10y + -10y = 0
-19 + -10y = 0

Add '19' to each side of the equation.
-19 + 19 + -10y = 0 + 19

Combine like terms: -19 + 19 = 0
0 + -10y = 0 + 19
-10y = 0 + 19

Combine like terms: 0 + 19 = 19
-10y = 19

Divide each side by '-10'.
y = -1.9

Simplifying
y = -1.9

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