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

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


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

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

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

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

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

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

Combine like terms: -7 + -9 = -16
-16 + 5y + 6y = 6

Combine like terms: 5y + 6y = 11y
-16 + 11y = 6

Solving
-16 + 11y = 6

Solving for variable 'y'.

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

Add '16' to each side of the equation.
-16 + 16 + 11y = 6 + 16

Combine like terms: -16 + 16 = 0
0 + 11y = 6 + 16
11y = 6 + 16

Combine like terms: 6 + 16 = 22
11y = 22

Divide each side by '11'.
y = 2

Simplifying
y = 2

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