5x+6y=45-y

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Solution for 5x+6y=45-y equation: 


Simplifying
5x + 6y = 45 + -1y

Solving
5x + 6y = 45 + -1y

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.
5x + 6y + -6y = 45 + -1y + -6y

Combine like terms: 6y + -6y = 0
5x + 0 = 45 + -1y + -6y
5x = 45 + -1y + -6y

Combine like terms: -1y + -6y = -7y
5x = 45 + -7y

Divide each side by '5'.
x = 9 + -1.4y

Simplifying
x = 9 + -1.4y

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