(y-8)+(y-8)=(5y-100)

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Solution for (y-8)+(y-8)=(5y-100) equation:


Simplifying
(y + -8) + (y + -8) = (5y + -100)

Reorder the terms:
(-8 + y) + (y + -8) = (5y + -100)

Remove parenthesis around (-8 + y)
-8 + y + (y + -8) = (5y + -100)

Reorder the terms:
-8 + y + (-8 + y) = (5y + -100)

Remove parenthesis around (-8 + y)
-8 + y + -8 + y = (5y + -100)

Reorder the terms:
-8 + -8 + y + y = (5y + -100)

Combine like terms: -8 + -8 = -16
-16 + y + y = (5y + -100)

Combine like terms: y + y = 2y
-16 + 2y = (5y + -100)

Reorder the terms:
-16 + 2y = (-100 + 5y)

Remove parenthesis around (-100 + 5y)
-16 + 2y = -100 + 5y

Solving
-16 + 2y = -100 + 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 + 2y + -5y = -100 + 5y + -5y

Combine like terms: 2y + -5y = -3y
-16 + -3y = -100 + 5y + -5y

Combine like terms: 5y + -5y = 0
-16 + -3y = -100 + 0
-16 + -3y = -100

Add '16' to each side of the equation.
-16 + 16 + -3y = -100 + 16

Combine like terms: -16 + 16 = 0
0 + -3y = -100 + 16
-3y = -100 + 16

Combine like terms: -100 + 16 = -84
-3y = -84

Divide each side by '-3'.
y = 28

Simplifying
y = 28

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