Y*6+109=Y*11-11

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Solution for Y*6+109=Y*11-11 equation:


Simplifying
Y * 6 + 109 = Y * 11 + -11

Reorder the terms for easier multiplication:
6Y + 109 = Y * 11 + -11

Reorder the terms:
109 + 6Y = Y * 11 + -11

Reorder the terms for easier multiplication:
109 + 6Y = 11Y + -11

Reorder the terms:
109 + 6Y = -11 + 11Y

Solving
109 + 6Y = -11 + 11Y

Solving for variable 'Y'.

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

Add '-11Y' to each side of the equation.
109 + 6Y + -11Y = -11 + 11Y + -11Y

Combine like terms: 6Y + -11Y = -5Y
109 + -5Y = -11 + 11Y + -11Y

Combine like terms: 11Y + -11Y = 0
109 + -5Y = -11 + 0
109 + -5Y = -11

Add '-109' to each side of the equation.
109 + -109 + -5Y = -11 + -109

Combine like terms: 109 + -109 = 0
0 + -5Y = -11 + -109
-5Y = -11 + -109

Combine like terms: -11 + -109 = -120
-5Y = -120

Divide each side by '-5'.
Y = 24

Simplifying
Y = 24

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