(y-8)-(y+2)=5y

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Solution for (y-8)-(y+2)=5y equation: 


Simplifying
(y + -8) + -1(y + 2) = 5y

Reorder the terms:
(-8 + y) + -1(y + 2) = 5y

Remove parenthesis around (-8 + y)
-8 + y + -1(y + 2) = 5y

Reorder the terms:
-8 + y + -1(2 + y) = 5y
-8 + y + (2 * -1 + y * -1) = 5y
-8 + y + (-2 + -1y) = 5y

Reorder the terms:
-8 + -2 + y + -1y = 5y

Combine like terms: -8 + -2 = -10
-10 + y + -1y = 5y

Combine like terms: y + -1y = 0
-10 + 0 = 5y
-10 = 5y

Solving
-10 = 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.
-10 + -5y = 5y + -5y

Combine like terms: 5y + -5y = 0
-10 + -5y = 0

Add '10' to each side of the equation.
-10 + 10 + -5y = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -5y = 0 + 10
-5y = 0 + 10

Combine like terms: 0 + 10 = 10
-5y = 10

Divide each side by '-5'.
y = -2

Simplifying
y = -2

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