(7y+8)-(6+6y)=9

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Solution for (7y+8)-(6+6y)=9 equation:


Simplifying
(7y + 8) + -1(6 + 6y) = 9

Reorder the terms:
(8 + 7y) + -1(6 + 6y) = 9

Remove parenthesis around (8 + 7y)
8 + 7y + -1(6 + 6y) = 9
8 + 7y + (6 * -1 + 6y * -1) = 9
8 + 7y + (-6 + -6y) = 9

Reorder the terms:
8 + -6 + 7y + -6y = 9

Combine like terms: 8 + -6 = 2
2 + 7y + -6y = 9

Combine like terms: 7y + -6y = 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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