5y-2+y-6=9y+10-6y+13

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Solution for 5y-2+y-6=9y+10-6y+13 equation:


Simplifying
5y + -2 + y + -6 = 9y + 10 + -6y + 13

Reorder the terms:
-2 + -6 + 5y + y = 9y + 10 + -6y + 13

Combine like terms: -2 + -6 = -8
-8 + 5y + y = 9y + 10 + -6y + 13

Combine like terms: 5y + y = 6y
-8 + 6y = 9y + 10 + -6y + 13

Reorder the terms:
-8 + 6y = 10 + 13 + 9y + -6y

Combine like terms: 10 + 13 = 23
-8 + 6y = 23 + 9y + -6y

Combine like terms: 9y + -6y = 3y
-8 + 6y = 23 + 3y

Solving
-8 + 6y = 23 + 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.
-8 + 6y + -3y = 23 + 3y + -3y

Combine like terms: 6y + -3y = 3y
-8 + 3y = 23 + 3y + -3y

Combine like terms: 3y + -3y = 0
-8 + 3y = 23 + 0
-8 + 3y = 23

Add '8' to each side of the equation.
-8 + 8 + 3y = 23 + 8

Combine like terms: -8 + 8 = 0
0 + 3y = 23 + 8
3y = 23 + 8

Combine like terms: 23 + 8 = 31
3y = 31

Divide each side by '3'.
y = 10.33333333

Simplifying
y = 10.33333333

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