2y+11=7y-6

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Solution for 2y+11=7y-6 equation:


Simplifying
2y + 11 = 7y + -6

Reorder the terms:
11 + 2y = 7y + -6

Reorder the terms:
11 + 2y = -6 + 7y

Solving
11 + 2y = -6 + 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 = -6 + 7y + -7y

Combine like terms: 2y + -7y = -5y
11 + -5y = -6 + 7y + -7y

Combine like terms: 7y + -7y = 0
11 + -5y = -6 + 0
11 + -5y = -6

Add '-11' to each side of the equation.
11 + -11 + -5y = -6 + -11

Combine like terms: 11 + -11 = 0
0 + -5y = -6 + -11
-5y = -6 + -11

Combine like terms: -6 + -11 = -17
-5y = -17

Divide each side by '-5'.
y = 3.4

Simplifying
y = 3.4

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