8(4ax+y)=31ax-7y

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Solution for 8(4ax+y)=31ax-7y equation:


Simplifying
8(4ax + y) = 31ax + -7y
(4ax * 8 + y * 8) = 31ax + -7y
(32ax + 8y) = 31ax + -7y

Solving
32ax + 8y = 31ax + -7y

Solving for variable 'a'.

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

Add '-31ax' to each side of the equation.
32ax + -31ax + 8y = 31ax + -31ax + -7y

Combine like terms: 32ax + -31ax = 1ax
1ax + 8y = 31ax + -31ax + -7y

Combine like terms: 31ax + -31ax = 0
1ax + 8y = 0 + -7y
1ax + 8y = -7y

Add '-8y' to each side of the equation.
1ax + 8y + -8y = -7y + -8y

Combine like terms: 8y + -8y = 0
1ax + 0 = -7y + -8y
1ax = -7y + -8y

Combine like terms: -7y + -8y = -15y
1ax = -15y

Divide each side by '1x'.
a = -15x-1y

Simplifying
a = -15x-1y

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