3y+3+2y+6=10y-31

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Solution for 3y+3+2y+6=10y-31 equation: 


Simplifying
3y + 3 + 2y + 6 = 10y + -31

Reorder the terms:
3 + 6 + 3y + 2y = 10y + -31

Combine like terms: 3 + 6 = 9
9 + 3y + 2y = 10y + -31

Combine like terms: 3y + 2y = 5y
9 + 5y = 10y + -31

Reorder the terms:
9 + 5y = -31 + 10y

Solving
9 + 5y = -31 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
9 + 5y + -10y = -31 + 10y + -10y

Combine like terms: 5y + -10y = -5y
9 + -5y = -31 + 10y + -10y

Combine like terms: 10y + -10y = 0
9 + -5y = -31 + 0
9 + -5y = -31

Add '-9' to each side of the equation.
9 + -9 + -5y = -31 + -9

Combine like terms: 9 + -9 = 0
0 + -5y = -31 + -9
-5y = -31 + -9

Combine like terms: -31 + -9 = -40
-5y = -40

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

Simplifying
y = 8

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