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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