(7y-5)+(6-5y)=23

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Solution for (7y-5)+(6-5y)=23 equation:


Simplifying
(7y + -5) + (6 + -5y) = 23

Reorder the terms:
(-5 + 7y) + (6 + -5y) = 23

Remove parenthesis around (-5 + 7y)
-5 + 7y + (6 + -5y) = 23

Remove parenthesis around (6 + -5y)
-5 + 7y + 6 + -5y = 23

Reorder the terms:
-5 + 6 + 7y + -5y = 23

Combine like terms: -5 + 6 = 1
1 + 7y + -5y = 23

Combine like terms: 7y + -5y = 2y
1 + 2y = 23

Solving
1 + 2y = 23

Solving for variable 'y'.

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

Add '-1' to each side of the equation.
1 + -1 + 2y = 23 + -1

Combine like terms: 1 + -1 = 0
0 + 2y = 23 + -1
2y = 23 + -1

Combine like terms: 23 + -1 = 22
2y = 22

Divide each side by '2'.
y = 11

Simplifying
y = 11

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