51+5y-14=14y-12-2y

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Solution for 51+5y-14=14y-12-2y equation: 


Simplifying
51 + 5y + -14 = 14y + -12 + -2y

Reorder the terms:
51 + -14 + 5y = 14y + -12 + -2y

Combine like terms: 51 + -14 = 37
37 + 5y = 14y + -12 + -2y

Reorder the terms:
37 + 5y = -12 + 14y + -2y

Combine like terms: 14y + -2y = 12y
37 + 5y = -12 + 12y

Solving
37 + 5y = -12 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
37 + 5y + -12y = -12 + 12y + -12y

Combine like terms: 5y + -12y = -7y
37 + -7y = -12 + 12y + -12y

Combine like terms: 12y + -12y = 0
37 + -7y = -12 + 0
37 + -7y = -12

Add '-37' to each side of the equation.
37 + -37 + -7y = -12 + -37

Combine like terms: 37 + -37 = 0
0 + -7y = -12 + -37
-7y = -12 + -37

Combine like terms: -12 + -37 = -49
-7y = -49

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

Simplifying
y = 7

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