(y-9)-(y+6)=10y

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Solution for (y-9)-(y+6)=10y equation:


Simplifying
(y + -9) + -1(y + 6) = 10y

Reorder the terms:
(-9 + y) + -1(y + 6) = 10y

Remove parenthesis around (-9 + y)
-9 + y + -1(y + 6) = 10y

Reorder the terms:
-9 + y + -1(6 + y) = 10y
-9 + y + (6 * -1 + y * -1) = 10y
-9 + y + (-6 + -1y) = 10y

Reorder the terms:
-9 + -6 + y + -1y = 10y

Combine like terms: -9 + -6 = -15
-15 + y + -1y = 10y

Combine like terms: y + -1y = 0
-15 + 0 = 10y
-15 = 10y

Solving
-15 = 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.
-15 + -10y = 10y + -10y

Combine like terms: 10y + -10y = 0
-15 + -10y = 0

Add '15' to each side of the equation.
-15 + 15 + -10y = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -10y = 0 + 15
-10y = 0 + 15

Combine like terms: 0 + 15 = 15
-10y = 15

Divide each side by '-10'.
y = -1.5

Simplifying
y = -1.5

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