6(4ax+y)=3ax-5y

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Solution for 6(4ax+y)=3ax-5y equation:


Simplifying
6(4ax + y) = 3ax + -5y
(4ax * 6 + y * 6) = 3ax + -5y
(24ax + 6y) = 3ax + -5y

Solving
24ax + 6y = 3ax + -5y

Solving for variable 'a'.

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

Add '-3ax' to each side of the equation.
24ax + -3ax + 6y = 3ax + -3ax + -5y

Combine like terms: 24ax + -3ax = 21ax
21ax + 6y = 3ax + -3ax + -5y

Combine like terms: 3ax + -3ax = 0
21ax + 6y = 0 + -5y
21ax + 6y = -5y

Add '-6y' to each side of the equation.
21ax + 6y + -6y = -5y + -6y

Combine like terms: 6y + -6y = 0
21ax + 0 = -5y + -6y
21ax = -5y + -6y

Combine like terms: -5y + -6y = -11y
21ax = -11y

Divide each side by '21x'.
a = -0.5238095238x-1y

Simplifying
a = -0.5238095238x-1y

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