51+4y-21=13y-12-3y

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Solution for 51+4y-21=13y-12-3y equation: 


Simplifying
51 + 4y + -21 = 13y + -12 + -3y

Reorder the terms:
51 + -21 + 4y = 13y + -12 + -3y

Combine like terms: 51 + -21 = 30
30 + 4y = 13y + -12 + -3y

Reorder the terms:
30 + 4y = -12 + 13y + -3y

Combine like terms: 13y + -3y = 10y
30 + 4y = -12 + 10y

Solving
30 + 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.
30 + 4y + -10y = -12 + 10y + -10y

Combine like terms: 4y + -10y = -6y
30 + -6y = -12 + 10y + -10y

Combine like terms: 10y + -10y = 0
30 + -6y = -12 + 0
30 + -6y = -12

Add '-30' to each side of the equation.
30 + -30 + -6y = -12 + -30

Combine like terms: 30 + -30 = 0
0 + -6y = -12 + -30
-6y = -12 + -30

Combine like terms: -12 + -30 = -42
-6y = -42

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

Simplifying
y = 7

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