9y-5=5y+13

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Solution for 9y-5=5y+13 equation: 


Simplifying
9y + -5 = 5y + 13

Reorder the terms:
-5 + 9y = 5y + 13

Reorder the terms:
-5 + 9y = 13 + 5y

Solving
-5 + 9y = 13 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-5 + 9y + -5y = 13 + 5y + -5y

Combine like terms: 9y + -5y = 4y
-5 + 4y = 13 + 5y + -5y

Combine like terms: 5y + -5y = 0
-5 + 4y = 13 + 0
-5 + 4y = 13

Add '5' to each side of the equation.
-5 + 5 + 4y = 13 + 5

Combine like terms: -5 + 5 = 0
0 + 4y = 13 + 5
4y = 13 + 5

Combine like terms: 13 + 5 = 18
4y = 18

Divide each side by '4'.
y = 4.5

Simplifying
y = 4.5

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