7y-7=5y+13

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


Simplifying
7y + -7 = 5y + 13

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

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

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

Combine like terms: 7y + -5y = 2y
-7 + 2y = 13 + 5y + -5y

Combine like terms: 5y + -5y = 0
-7 + 2y = 13 + 0
-7 + 2y = 13

Add '7' to each side of the equation.
-7 + 7 + 2y = 13 + 7

Combine like terms: -7 + 7 = 0
0 + 2y = 13 + 7
2y = 13 + 7

Combine like terms: 13 + 7 = 20
2y = 20

Divide each side by '2'.
y = 10

Simplifying
y = 10

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