5y-9=3y-13

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Solution for 5y-9=3y-13 equation:


Simplifying
5y + -9 = 3y + -13

Reorder the terms:
-9 + 5y = 3y + -13

Reorder the terms:
-9 + 5y = -13 + 3y

Solving
-9 + 5y = -13 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-9 + 5y + -3y = -13 + 3y + -3y

Combine like terms: 5y + -3y = 2y
-9 + 2y = -13 + 3y + -3y

Combine like terms: 3y + -3y = 0
-9 + 2y = -13 + 0
-9 + 2y = -13

Add '9' to each side of the equation.
-9 + 9 + 2y = -13 + 9

Combine like terms: -9 + 9 = 0
0 + 2y = -13 + 9
2y = -13 + 9

Combine like terms: -13 + 9 = -4
2y = -4

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

Simplifying
y = -2

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