2y+11=5y-10

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Solution for 2y+11=5y-10 equation: 


Simplifying
2y + 11 = 5y + -10

Reorder the terms:
11 + 2y = 5y + -10

Reorder the terms:
11 + 2y = -10 + 5y

Solving
11 + 2y = -10 + 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 = -10 + 5y + -5y

Combine like terms: 2y + -5y = -3y
11 + -3y = -10 + 5y + -5y

Combine like terms: 5y + -5y = 0
11 + -3y = -10 + 0
11 + -3y = -10

Add '-11' to each side of the equation.
11 + -11 + -3y = -10 + -11

Combine like terms: 11 + -11 = 0
0 + -3y = -10 + -11
-3y = -10 + -11

Combine like terms: -10 + -11 = -21
-3y = -21

Divide each side by '-3'.
y = 7

Simplifying
y = 7

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