8(7+y)=y(8+x)

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Solution for 8(7+y)=y(8+x) equation:


Simplifying
8(7 + y) = y(8 + x)
(7 * 8 + y * 8) = y(8 + x)
(56 + 8y) = y(8 + x)
56 + 8y = (8 * y + x * y)

Reorder the terms:
56 + 8y = (xy + 8y)
56 + 8y = (xy + 8y)

Add '-8y' to each side of the equation.
56 + 8y + -8y = xy + 8y + -8y

Combine like terms: 8y + -8y = 0
56 + 0 = xy + 8y + -8y
56 = xy + 8y + -8y

Combine like terms: 8y + -8y = 0
56 = xy + 0
56 = xy

Solving
56 = xy

Solving for variable 'x'.

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

Add '-1xy' to each side of the equation.
56 + -1xy = xy + -1xy

Combine like terms: xy + -1xy = 0
56 + -1xy = 0

Add '-56' to each side of the equation.
56 + -56 + -1xy = 0 + -56

Combine like terms: 56 + -56 = 0
0 + -1xy = 0 + -56
-1xy = 0 + -56

Combine like terms: 0 + -56 = -56
-1xy = -56

Divide each side by '-1y'.
x = 56y-1

Simplifying
x = 56y-1

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