3y-9=11y+31

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Solution for 3y-9=11y+31 equation:


Simplifying
3y + -9 = 11y + 31

Reorder the terms:
-9 + 3y = 11y + 31

Reorder the terms:
-9 + 3y = 31 + 11y

Solving
-9 + 3y = 31 + 11y

Solving for variable 'y'.

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

Add '-11y' to each side of the equation.
-9 + 3y + -11y = 31 + 11y + -11y

Combine like terms: 3y + -11y = -8y
-9 + -8y = 31 + 11y + -11y

Combine like terms: 11y + -11y = 0
-9 + -8y = 31 + 0
-9 + -8y = 31

Add '9' to each side of the equation.
-9 + 9 + -8y = 31 + 9

Combine like terms: -9 + 9 = 0
0 + -8y = 31 + 9
-8y = 31 + 9

Combine like terms: 31 + 9 = 40
-8y = 40

Divide each side by '-8'.
y = -5

Simplifying
y = -5

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