(x+2)*y=216

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Solution for (x+2)*y=216 equation:


Simplifying
(x + 2) * y = 216

Reorder the terms:
(2 + x) * y = 216

Reorder the terms for easier multiplication:
y(2 + x) = 216
(2 * y + x * y) = 216

Reorder the terms:
(xy + 2y) = 216
(xy + 2y) = 216

Solving
xy + 2y = 216

Solving for variable 'x'.

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

Add '-2y' to each side of the equation.
xy + 2y + -2y = 216 + -2y

Combine like terms: 2y + -2y = 0
xy + 0 = 216 + -2y
xy = 216 + -2y

Divide each side by 'y'.
x = 216y-1 + -2

Simplifying
x = 216y-1 + -2

Reorder the terms:
x = -2 + 216y-1

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