5y-9+y+21=6y+20-4y

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Solution for 5y-9+y+21=6y+20-4y equation: 


Simplifying
5y + -9 + y + 21 = 6y + 20 + -4y

Reorder the terms:
-9 + 21 + 5y + y = 6y + 20 + -4y

Combine like terms: -9 + 21 = 12
12 + 5y + y = 6y + 20 + -4y

Combine like terms: 5y + y = 6y
12 + 6y = 6y + 20 + -4y

Reorder the terms:
12 + 6y = 20 + 6y + -4y

Combine like terms: 6y + -4y = 2y
12 + 6y = 20 + 2y

Solving
12 + 6y = 20 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
12 + 6y + -2y = 20 + 2y + -2y

Combine like terms: 6y + -2y = 4y
12 + 4y = 20 + 2y + -2y

Combine like terms: 2y + -2y = 0
12 + 4y = 20 + 0
12 + 4y = 20

Add '-12' to each side of the equation.
12 + -12 + 4y = 20 + -12

Combine like terms: 12 + -12 = 0
0 + 4y = 20 + -12
4y = 20 + -12

Combine like terms: 20 + -12 = 8
4y = 8

Divide each side by '4'.
y = 2

Simplifying
y = 2

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