7y-13=5y-17

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Solution for 7y-13=5y-17 equation:


Simplifying
7y + -13 = 5y + -17

Reorder the terms:
-13 + 7y = 5y + -17

Reorder the terms:
-13 + 7y = -17 + 5y

Solving
-13 + 7y = -17 + 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 = -17 + 5y + -5y

Combine like terms: 7y + -5y = 2y
-13 + 2y = -17 + 5y + -5y

Combine like terms: 5y + -5y = 0
-13 + 2y = -17 + 0
-13 + 2y = -17

Add '13' to each side of the equation.
-13 + 13 + 2y = -17 + 13

Combine like terms: -13 + 13 = 0
0 + 2y = -17 + 13
2y = -17 + 13

Combine like terms: -17 + 13 = -4
2y = -4

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

Simplifying
y = -2

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