(x+2)2=8(y-4)

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Solution for (x+2)2=8(y-4) equation:


Simplifying
(x + 2) * 2 = 8(y + -4)

Reorder the terms:
(2 + x) * 2 = 8(y + -4)

Reorder the terms for easier multiplication:
2(2 + x) = 8(y + -4)
(2 * 2 + x * 2) = 8(y + -4)
(4 + 2x) = 8(y + -4)

Reorder the terms:
4 + 2x = 8(-4 + y)
4 + 2x = (-4 * 8 + y * 8)
4 + 2x = (-32 + 8y)

Solving
4 + 2x = -32 + 8y

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + 2x = -32 + -4 + 8y

Combine like terms: 4 + -4 = 0
0 + 2x = -32 + -4 + 8y
2x = -32 + -4 + 8y

Combine like terms: -32 + -4 = -36
2x = -36 + 8y

Divide each side by '2'.
x = -18 + 4y

Simplifying
x = -18 + 4y

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