7y+13=5y-13

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


Simplifying
7y + 13 = 5y + -13

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

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

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

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

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

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

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

Combine like terms: -13 + -13 = -26
2y = -26

Divide each side by '2'.
y = -13

Simplifying
y = -13

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