4y-9+y+21=6+6y+14-3y

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Solution for 4y-9+y+21=6+6y+14-3y equation: 


Simplifying
4y + -9 + y + 21 = 6 + 6y + 14 + -3y

Reorder the terms:
-9 + 21 + 4y + y = 6 + 6y + 14 + -3y

Combine like terms: -9 + 21 = 12
12 + 4y + y = 6 + 6y + 14 + -3y

Combine like terms: 4y + y = 5y
12 + 5y = 6 + 6y + 14 + -3y

Reorder the terms:
12 + 5y = 6 + 14 + 6y + -3y

Combine like terms: 6 + 14 = 20
12 + 5y = 20 + 6y + -3y

Combine like terms: 6y + -3y = 3y
12 + 5y = 20 + 3y

Solving
12 + 5y = 20 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
12 + 5y + -3y = 20 + 3y + -3y

Combine like terms: 5y + -3y = 2y
12 + 2y = 20 + 3y + -3y

Combine like terms: 3y + -3y = 0
12 + 2y = 20 + 0
12 + 2y = 20

Add '-12' to each side of the equation.
12 + -12 + 2y = 20 + -12

Combine like terms: 12 + -12 = 0
0 + 2y = 20 + -12
2y = 20 + -12

Combine like terms: 20 + -12 = 8
2y = 8

Divide each side by '2'.
y = 4

Simplifying
y = 4

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