5y-6+y+14=7y+20-5y

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Solution for 5y-6+y+14=7y+20-5y equation: 


Simplifying
5y + -6 + y + 14 = 7y + 20 + -5y

Reorder the terms:
-6 + 14 + 5y + y = 7y + 20 + -5y

Combine like terms: -6 + 14 = 8
8 + 5y + y = 7y + 20 + -5y

Combine like terms: 5y + y = 6y
8 + 6y = 7y + 20 + -5y

Reorder the terms:
8 + 6y = 20 + 7y + -5y

Combine like terms: 7y + -5y = 2y
8 + 6y = 20 + 2y

Solving
8 + 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.
8 + 6y + -2y = 20 + 2y + -2y

Combine like terms: 6y + -2y = 4y
8 + 4y = 20 + 2y + -2y

Combine like terms: 2y + -2y = 0
8 + 4y = 20 + 0
8 + 4y = 20

Add '-8' to each side of the equation.
8 + -8 + 4y = 20 + -8

Combine like terms: 8 + -8 = 0
0 + 4y = 20 + -8
4y = 20 + -8

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

Divide each side by '4'.
y = 3

Simplifying
y = 3

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