51+4y-21=16y-12-5y

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Solution for 51+4y-21=16y-12-5y equation: 


Simplifying
51 + 4y + -21 = 16y + -12 + -5y

Reorder the terms:
51 + -21 + 4y = 16y + -12 + -5y

Combine like terms: 51 + -21 = 30
30 + 4y = 16y + -12 + -5y

Reorder the terms:
30 + 4y = -12 + 16y + -5y

Combine like terms: 16y + -5y = 11y
30 + 4y = -12 + 11y

Solving
30 + 4y = -12 + 11y

Solving for variable 'y'.

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

Add '-11y' to each side of the equation.
30 + 4y + -11y = -12 + 11y + -11y

Combine like terms: 4y + -11y = -7y
30 + -7y = -12 + 11y + -11y

Combine like terms: 11y + -11y = 0
30 + -7y = -12 + 0
30 + -7y = -12

Add '-30' to each side of the equation.
30 + -30 + -7y = -12 + -30

Combine like terms: 30 + -30 = 0
0 + -7y = -12 + -30
-7y = -12 + -30

Combine like terms: -12 + -30 = -42
-7y = -42

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

Simplifying
y = 6

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