9y-7=5y+13

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Solution for 9y-7=5y+13 equation: 


Simplifying
9y + -7 = 5y + 13

Reorder the terms:
-7 + 9y = 5y + 13

Reorder the terms:
-7 + 9y = 13 + 5y

Solving
-7 + 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.
-7 + 9y + -5y = 13 + 5y + -5y

Combine like terms: 9y + -5y = 4y
-7 + 4y = 13 + 5y + -5y

Combine like terms: 5y + -5y = 0
-7 + 4y = 13 + 0
-7 + 4y = 13

Add '7' to each side of the equation.
-7 + 7 + 4y = 13 + 7

Combine like terms: -7 + 7 = 0
0 + 4y = 13 + 7
4y = 13 + 7

Combine like terms: 13 + 7 = 20
4y = 20

Divide each side by '4'.
y = 5

Simplifying
y = 5

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