(7y-8)-(5+6y)=9

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Solution for (7y-8)-(5+6y)=9 equation:


Simplifying
(7y + -8) + -1(5 + 6y) = 9

Reorder the terms:
(-8 + 7y) + -1(5 + 6y) = 9

Remove parenthesis around (-8 + 7y)
-8 + 7y + -1(5 + 6y) = 9
-8 + 7y + (5 * -1 + 6y * -1) = 9
-8 + 7y + (-5 + -6y) = 9

Reorder the terms:
-8 + -5 + 7y + -6y = 9

Combine like terms: -8 + -5 = -13
-13 + 7y + -6y = 9

Combine like terms: 7y + -6y = 1y
-13 + 1y = 9

Solving
-13 + 1y = 9

Solving for variable 'y'.

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

Add '13' to each side of the equation.
-13 + 13 + 1y = 9 + 13

Combine like terms: -13 + 13 = 0
0 + 1y = 9 + 13
1y = 9 + 13

Combine like terms: 9 + 13 = 22
1y = 22

Divide each side by '1'.
y = 22

Simplifying
y = 22

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