2y+11=5y-7

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Solution for 2y+11=5y-7 equation: 


Simplifying
2y + 11 = 5y + -7

Reorder the terms:
11 + 2y = 5y + -7

Reorder the terms:
11 + 2y = -7 + 5y

Solving
11 + 2y = -7 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
11 + 2y + -5y = -7 + 5y + -5y

Combine like terms: 2y + -5y = -3y
11 + -3y = -7 + 5y + -5y

Combine like terms: 5y + -5y = 0
11 + -3y = -7 + 0
11 + -3y = -7

Add '-11' to each side of the equation.
11 + -11 + -3y = -7 + -11

Combine like terms: 11 + -11 = 0
0 + -3y = -7 + -11
-3y = -7 + -11

Combine like terms: -7 + -11 = -18
-3y = -18

Divide each side by '-3'.
y = 6

Simplifying
y = 6

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