10y-5=14y+31

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Solution for 10y-5=14y+31 equation:


Simplifying
10y + -5 = 14y + 31

Reorder the terms:
-5 + 10y = 14y + 31

Reorder the terms:
-5 + 10y = 31 + 14y

Solving
-5 + 10y = 31 + 14y

Solving for variable 'y'.

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

Add '-14y' to each side of the equation.
-5 + 10y + -14y = 31 + 14y + -14y

Combine like terms: 10y + -14y = -4y
-5 + -4y = 31 + 14y + -14y

Combine like terms: 14y + -14y = 0
-5 + -4y = 31 + 0
-5 + -4y = 31

Add '5' to each side of the equation.
-5 + 5 + -4y = 31 + 5

Combine like terms: -5 + 5 = 0
0 + -4y = 31 + 5
-4y = 31 + 5

Combine like terms: 31 + 5 = 36
-4y = 36

Divide each side by '-4'.
y = -9

Simplifying
y = -9

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