31+4y-7=15y-12-5y

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Solution for 31+4y-7=15y-12-5y equation:


Simplifying
31 + 4y + -7 = 15y + -12 + -5y

Reorder the terms:
31 + -7 + 4y = 15y + -12 + -5y

Combine like terms: 31 + -7 = 24
24 + 4y = 15y + -12 + -5y

Reorder the terms:
24 + 4y = -12 + 15y + -5y

Combine like terms: 15y + -5y = 10y
24 + 4y = -12 + 10y

Solving
24 + 4y = -12 + 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.
24 + 4y + -10y = -12 + 10y + -10y

Combine like terms: 4y + -10y = -6y
24 + -6y = -12 + 10y + -10y

Combine like terms: 10y + -10y = 0
24 + -6y = -12 + 0
24 + -6y = -12

Add '-24' to each side of the equation.
24 + -24 + -6y = -12 + -24

Combine like terms: 24 + -24 = 0
0 + -6y = -12 + -24
-6y = -12 + -24

Combine like terms: -12 + -24 = -36
-6y = -36

Divide each side by '-6'.
y = 6

Simplifying
y = 6

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