(6y+7)-(5+5y)=9

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Solution for (6y+7)-(5+5y)=9 equation:


Simplifying
(6y + 7) + -1(5 + 5y) = 9

Reorder the terms:
(7 + 6y) + -1(5 + 5y) = 9

Remove parenthesis around (7 + 6y)
7 + 6y + -1(5 + 5y) = 9
7 + 6y + (5 * -1 + 5y * -1) = 9
7 + 6y + (-5 + -5y) = 9

Reorder the terms:
7 + -5 + 6y + -5y = 9

Combine like terms: 7 + -5 = 2
2 + 6y + -5y = 9

Combine like terms: 6y + -5y = 1y
2 + 1y = 9

Solving
2 + 1y = 9

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 + -2 + 1y = 9 + -2

Combine like terms: 2 + -2 = 0
0 + 1y = 9 + -2
1y = 9 + -2

Combine like terms: 9 + -2 = 7
1y = 7

Divide each side by '1'.
y = 7

Simplifying
y = 7

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