6(Y+9)+Y=(Y+5)+6

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Solution for 6(Y+9)+Y=(Y+5)+6 equation: 


Simplifying
6(Y + 9) + Y = (Y + 5) + 6

Reorder the terms:
6(9 + Y) + Y = (Y + 5) + 6
(9 * 6 + Y * 6) + Y = (Y + 5) + 6
(54 + 6Y) + Y = (Y + 5) + 6

Combine like terms: 6Y + Y = 7Y
54 + 7Y = (Y + 5) + 6

Reorder the terms:
54 + 7Y = (5 + Y) + 6

Remove parenthesis around (5 + Y)
54 + 7Y = 5 + Y + 6

Reorder the terms:
54 + 7Y = 5 + 6 + Y

Combine like terms: 5 + 6 = 11
54 + 7Y = 11 + Y

Solving
54 + 7Y = 11 + Y

Solving for variable 'Y'.

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

Add '-1Y' to each side of the equation.
54 + 7Y + -1Y = 11 + Y + -1Y

Combine like terms: 7Y + -1Y = 6Y
54 + 6Y = 11 + Y + -1Y

Combine like terms: Y + -1Y = 0
54 + 6Y = 11 + 0
54 + 6Y = 11

Add '-54' to each side of the equation.
54 + -54 + 6Y = 11 + -54

Combine like terms: 54 + -54 = 0
0 + 6Y = 11 + -54
6Y = 11 + -54

Combine like terms: 11 + -54 = -43
6Y = -43

Divide each side by '6'.
Y = -7.166666667

Simplifying
Y = -7.166666667

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