7y+2+2y+9=13y-9

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Solution for 7y+2+2y+9=13y-9 equation: 


Simplifying
7y + 2 + 2y + 9 = 13y + -9

Reorder the terms:
2 + 9 + 7y + 2y = 13y + -9

Combine like terms: 2 + 9 = 11
11 + 7y + 2y = 13y + -9

Combine like terms: 7y + 2y = 9y
11 + 9y = 13y + -9

Reorder the terms:
11 + 9y = -9 + 13y

Solving
11 + 9y = -9 + 13y

Solving for variable 'y'.

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

Add '-13y' to each side of the equation.
11 + 9y + -13y = -9 + 13y + -13y

Combine like terms: 9y + -13y = -4y
11 + -4y = -9 + 13y + -13y

Combine like terms: 13y + -13y = 0
11 + -4y = -9 + 0
11 + -4y = -9

Add '-11' to each side of the equation.
11 + -11 + -4y = -9 + -11

Combine like terms: 11 + -11 = 0
0 + -4y = -9 + -11
-4y = -9 + -11

Combine like terms: -9 + -11 = -20
-4y = -20

Divide each side by '-4'.
y = 5

Simplifying
y = 5

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