4(-ax+2y)=ax+y

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Solution for 4(-ax+2y)=ax+y equation:


Simplifying
4(-1ax + 2y) = ax + y
(-1ax * 4 + 2y * 4) = ax + y
(-4ax + 8y) = ax + y

Solving
-4ax + 8y = ax + y

Solving for variable 'a'.

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

Add '-1ax' to each side of the equation.
-4ax + -1ax + 8y = ax + -1ax + y

Combine like terms: -4ax + -1ax = -5ax
-5ax + 8y = ax + -1ax + y

Combine like terms: ax + -1ax = 0
-5ax + 8y = 0 + y
-5ax + 8y = y

Add '-8y' to each side of the equation.
-5ax + 8y + -8y = y + -8y

Combine like terms: 8y + -8y = 0
-5ax + 0 = y + -8y
-5ax = y + -8y

Combine like terms: y + -8y = -7y
-5ax = -7y

Divide each side by '-5x'.
a = 1.4x-1y

Simplifying
a = 1.4x-1y

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