(y-4)-(y+4)=5y

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Solution for (y-4)-(y+4)=5y equation: 


Simplifying
(y + -4) + -1(y + 4) = 5y

Reorder the terms:
(-4 + y) + -1(y + 4) = 5y

Remove parenthesis around (-4 + y)
-4 + y + -1(y + 4) = 5y

Reorder the terms:
-4 + y + -1(4 + y) = 5y
-4 + y + (4 * -1 + y * -1) = 5y
-4 + y + (-4 + -1y) = 5y

Reorder the terms:
-4 + -4 + y + -1y = 5y

Combine like terms: -4 + -4 = -8
-8 + y + -1y = 5y

Combine like terms: y + -1y = 0
-8 + 0 = 5y
-8 = 5y

Solving
-8 = 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.
-8 + -5y = 5y + -5y

Combine like terms: 5y + -5y = 0
-8 + -5y = 0

Add '8' to each side of the equation.
-8 + 8 + -5y = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -5y = 0 + 8
-5y = 0 + 8

Combine like terms: 0 + 8 = 8
-5y = 8

Divide each side by '-5'.
y = -1.6

Simplifying
y = -1.6

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