5y+11=2y-10

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


Simplifying
5y + 11 = 2y + -10

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

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

Solving
11 + 5y = -10 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
11 + 5y + -2y = -10 + 2y + -2y

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

Combine like terms: 2y + -2y = 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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