6y-9=13y+40

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Solution for 6y-9=13y+40 equation:


Simplifying
6y + -9 = 13y + 40

Reorder the terms:
-9 + 6y = 13y + 40

Reorder the terms:
-9 + 6y = 40 + 13y

Solving
-9 + 6y = 40 + 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 + 6y + -13y = 40 + 13y + -13y

Combine like terms: 6y + -13y = -7y
-9 + -7y = 40 + 13y + -13y

Combine like terms: 13y + -13y = 0
-9 + -7y = 40 + 0
-9 + -7y = 40

Add '9' to each side of the equation.
-9 + 9 + -7y = 40 + 9

Combine like terms: -9 + 9 = 0
0 + -7y = 40 + 9
-7y = 40 + 9

Combine like terms: 40 + 9 = 49
-7y = 49

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

Simplifying
y = -7

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