6y-5=13y+9

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Solution for 6y-5=13y+9 equation:


Simplifying
6y + -5 = 13y + 9

Reorder the terms:
-5 + 6y = 13y + 9

Reorder the terms:
-5 + 6y = 9 + 13y

Solving
-5 + 6y = 9 + 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.
-5 + 6y + -13y = 9 + 13y + -13y

Combine like terms: 6y + -13y = -7y
-5 + -7y = 9 + 13y + -13y

Combine like terms: 13y + -13y = 0
-5 + -7y = 9 + 0
-5 + -7y = 9

Add '5' to each side of the equation.
-5 + 5 + -7y = 9 + 5

Combine like terms: -5 + 5 = 0
0 + -7y = 9 + 5
-7y = 9 + 5

Combine like terms: 9 + 5 = 14
-7y = 14

Divide each side by '-7'.
y = -2

Simplifying
y = -2

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