(y-9)-(y+7)=8y

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Solution for (y-9)-(y+7)=8y equation:


Simplifying
(y + -9) + -1(y + 7) = 8y

Reorder the terms:
(-9 + y) + -1(y + 7) = 8y

Remove parenthesis around (-9 + y)
-9 + y + -1(y + 7) = 8y

Reorder the terms:
-9 + y + -1(7 + y) = 8y
-9 + y + (7 * -1 + y * -1) = 8y
-9 + y + (-7 + -1y) = 8y

Reorder the terms:
-9 + -7 + y + -1y = 8y

Combine like terms: -9 + -7 = -16
-16 + y + -1y = 8y

Combine like terms: y + -1y = 0
-16 + 0 = 8y
-16 = 8y

Solving
-16 = 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.
-16 + -8y = 8y + -8y

Combine like terms: 8y + -8y = 0
-16 + -8y = 0

Add '16' to each side of the equation.
-16 + 16 + -8y = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -8y = 0 + 16
-8y = 0 + 16

Combine like terms: 0 + 16 = 16
-8y = 16

Divide each side by '-8'.
y = -2

Simplifying
y = -2

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