40+3y-12=13y-14-3y

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Solution for 40+3y-12=13y-14-3y equation: 


Simplifying
40 + 3y + -12 = 13y + -14 + -3y

Reorder the terms:
40 + -12 + 3y = 13y + -14 + -3y

Combine like terms: 40 + -12 = 28
28 + 3y = 13y + -14 + -3y

Reorder the terms:
28 + 3y = -14 + 13y + -3y

Combine like terms: 13y + -3y = 10y
28 + 3y = -14 + 10y

Solving
28 + 3y = -14 + 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.
28 + 3y + -10y = -14 + 10y + -10y

Combine like terms: 3y + -10y = -7y
28 + -7y = -14 + 10y + -10y

Combine like terms: 10y + -10y = 0
28 + -7y = -14 + 0
28 + -7y = -14

Add '-28' to each side of the equation.
28 + -28 + -7y = -14 + -28

Combine like terms: 28 + -28 = 0
0 + -7y = -14 + -28
-7y = -14 + -28

Combine like terms: -14 + -28 = -42
-7y = -42

Divide each side by '-7'.
y = 6

Simplifying
y = 6

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