2y-11=7y+9

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Solution for 2y-11=7y+9 equation: 


Simplifying
2y + -11 = 7y + 9

Reorder the terms:
-11 + 2y = 7y + 9

Reorder the terms:
-11 + 2y = 9 + 7y

Solving
-11 + 2y = 9 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
-11 + 2y + -7y = 9 + 7y + -7y

Combine like terms: 2y + -7y = -5y
-11 + -5y = 9 + 7y + -7y

Combine like terms: 7y + -7y = 0
-11 + -5y = 9 + 0
-11 + -5y = 9

Add '11' to each side of the equation.
-11 + 11 + -5y = 9 + 11

Combine like terms: -11 + 11 = 0
0 + -5y = 9 + 11
-5y = 9 + 11

Combine like terms: 9 + 11 = 20
-5y = 20

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

Simplifying
y = -4

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