40+4y-6=13y-12-3y

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Solution for 40+4y-6=13y-12-3y equation: 


Simplifying
40 + 4y + -6 = 13y + -12 + -3y

Reorder the terms:
40 + -6 + 4y = 13y + -12 + -3y

Combine like terms: 40 + -6 = 34
34 + 4y = 13y + -12 + -3y

Reorder the terms:
34 + 4y = -12 + 13y + -3y

Combine like terms: 13y + -3y = 10y
34 + 4y = -12 + 10y

Solving
34 + 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.
34 + 4y + -10y = -12 + 10y + -10y

Combine like terms: 4y + -10y = -6y
34 + -6y = -12 + 10y + -10y

Combine like terms: 10y + -10y = 0
34 + -6y = -12 + 0
34 + -6y = -12

Add '-34' to each side of the equation.
34 + -34 + -6y = -12 + -34

Combine like terms: 34 + -34 = 0
0 + -6y = -12 + -34
-6y = -12 + -34

Combine like terms: -12 + -34 = -46
-6y = -46

Divide each side by '-6'.
y = 7.666666667

Simplifying
y = 7.666666667

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