7y+13=13y-17

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Solution for 7y+13=13y-17 equation:


Simplifying
7y + 13 = 13y + -17

Reorder the terms:
13 + 7y = 13y + -17

Reorder the terms:
13 + 7y = -17 + 13y

Solving
13 + 7y = -17 + 13y

Solving for variable 'y'.

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

Add '-13y' to each side of the equation.
13 + 7y + -13y = -17 + 13y + -13y

Combine like terms: 7y + -13y = -6y
13 + -6y = -17 + 13y + -13y

Combine like terms: 13y + -13y = 0
13 + -6y = -17 + 0
13 + -6y = -17

Add '-13' to each side of the equation.
13 + -13 + -6y = -17 + -13

Combine like terms: 13 + -13 = 0
0 + -6y = -17 + -13
-6y = -17 + -13

Combine like terms: -17 + -13 = -30
-6y = -30

Divide each side by '-6'.
y = 5

Simplifying
y = 5

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