2xy+6y=10

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Solution for 2xy+6y=10 equation: 


Simplifying
2xy + 6y = 10

Solving
2xy + 6y = 10

Solving for variable 'x'.

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

Add '-6y' to each side of the equation.
2xy + 6y + -6y = 10 + -6y

Combine like terms: 6y + -6y = 0
2xy + 0 = 10 + -6y
2xy = 10 + -6y

Divide each side by '2y'.
x = 5y-1 + -3

Simplifying
x = 5y-1 + -3

Reorder the terms:
x = -3 + 5y-1

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