2y+31=9y-49

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Solution for 2y+31=9y-49 equation:


Simplifying
2y + 31 = 9y + -49

Reorder the terms:
31 + 2y = 9y + -49

Reorder the terms:
31 + 2y = -49 + 9y

Solving
31 + 2y = -49 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
31 + 2y + -9y = -49 + 9y + -9y

Combine like terms: 2y + -9y = -7y
31 + -7y = -49 + 9y + -9y

Combine like terms: 9y + -9y = 0
31 + -7y = -49 + 0
31 + -7y = -49

Add '-31' to each side of the equation.
31 + -31 + -7y = -49 + -31

Combine like terms: 31 + -31 = 0
0 + -7y = -49 + -31
-7y = -49 + -31

Combine like terms: -49 + -31 = -80
-7y = -80

Divide each side by '-7'.
y = 11.42857143

Simplifying
y = 11.42857143

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