5y-9=13y+7

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Solution for 5y-9=13y+7 equation:


Simplifying
5y + -9 = 13y + 7

Reorder the terms:
-9 + 5y = 13y + 7

Reorder the terms:
-9 + 5y = 7 + 13y

Solving
-9 + 5y = 7 + 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.
-9 + 5y + -13y = 7 + 13y + -13y

Combine like terms: 5y + -13y = -8y
-9 + -8y = 7 + 13y + -13y

Combine like terms: 13y + -13y = 0
-9 + -8y = 7 + 0
-9 + -8y = 7

Add '9' to each side of the equation.
-9 + 9 + -8y = 7 + 9

Combine like terms: -9 + 9 = 0
0 + -8y = 7 + 9
-8y = 7 + 9

Combine like terms: 7 + 9 = 16
-8y = 16

Divide each side by '-8'.
y = -2

Simplifying
y = -2

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