(y-8)-(y+8)=5y

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Solution for (y-8)-(y+8)=5y equation: 


Simplifying
(y + -8) + -1(y + 8) = 5y

Reorder the terms:
(-8 + y) + -1(y + 8) = 5y

Remove parenthesis around (-8 + y)
-8 + y + -1(y + 8) = 5y

Reorder the terms:
-8 + y + -1(8 + y) = 5y
-8 + y + (8 * -1 + y * -1) = 5y
-8 + y + (-8 + -1y) = 5y

Reorder the terms:
-8 + -8 + y + -1y = 5y

Combine like terms: -8 + -8 = -16
-16 + y + -1y = 5y

Combine like terms: y + -1y = 0
-16 + 0 = 5y
-16 = 5y

Solving
-16 = 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-16 + -5y = 5y + -5y

Combine like terms: 5y + -5y = 0
-16 + -5y = 0

Add '16' to each side of the equation.
-16 + 16 + -5y = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -5y = 0 + 16
-5y = 0 + 16

Combine like terms: 0 + 16 = 16
-5y = 16

Divide each side by '-5'.
y = -3.2

Simplifying
y = -3.2

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