(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

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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