(6Y+7)-(5+5y)=10

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Solution for (6Y+7)-(5+5y)=10 equation: 


Simplifying
(6Y + 7) + -1(5 + 5y) = 10

Reorder the terms:
(7 + 6Y) + -1(5 + 5y) = 10

Remove parenthesis around (7 + 6Y)
7 + 6Y + -1(5 + 5y) = 10
7 + 6Y + (5 * -1 + 5y * -1) = 10
7 + 6Y + (-5 + -5y) = 10

Reorder the terms:
7 + -5 + 6Y + -5y = 10

Combine like terms: 7 + -5 = 2
2 + 6Y + -5y = 10

Solving
2 + 6Y + -5y = 10

Solving for variable 'Y'.

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

Add '-2' to each side of the equation.
2 + 6Y + -2 + -5y = 10 + -2

Reorder the terms:
2 + -2 + 6Y + -5y = 10 + -2

Combine like terms: 2 + -2 = 0
0 + 6Y + -5y = 10 + -2
6Y + -5y = 10 + -2

Combine like terms: 10 + -2 = 8
6Y + -5y = 8

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

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

Divide each side by '6'.
Y = 1.333333333 + 0.8333333333y

Simplifying
Y = 1.333333333 + 0.8333333333y

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