(Y-5)6+11-5y=8

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Solution for (Y-5)6+11-5y=8 equation:


Simplifying
(Y + -5) * 6 + 11 + -5y = 8

Reorder the terms:
(-5 + Y) * 6 + 11 + -5y = 8

Reorder the terms for easier multiplication:
6(-5 + Y) + 11 + -5y = 8
(-5 * 6 + Y * 6) + 11 + -5y = 8
(-30 + 6Y) + 11 + -5y = 8

Reorder the terms:
-30 + 11 + 6Y + -5y = 8

Combine like terms: -30 + 11 = -19
-19 + 6Y + -5y = 8

Solving
-19 + 6Y + -5y = 8

Solving for variable 'Y'.

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

Add '19' to each side of the equation.
-19 + 6Y + 19 + -5y = 8 + 19

Reorder the terms:
-19 + 19 + 6Y + -5y = 8 + 19

Combine like terms: -19 + 19 = 0
0 + 6Y + -5y = 8 + 19
6Y + -5y = 8 + 19

Combine like terms: 8 + 19 = 27
6Y + -5y = 27

Add '5y' to each side of the equation.
6Y + -5y + 5y = 27 + 5y

Combine like terms: -5y + 5y = 0
6Y + 0 = 27 + 5y
6Y = 27 + 5y

Divide each side by '6'.
Y = 4.5 + 0.8333333333y

Simplifying
Y = 4.5 + 0.8333333333y

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