(y-2)2=4(x+3)

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Solution for (y-2)2=4(x+3) equation:


Simplifying
(y + -2) * 2 = 4(x + 3)

Reorder the terms:
(-2 + y) * 2 = 4(x + 3)

Reorder the terms for easier multiplication:
2(-2 + y) = 4(x + 3)
(-2 * 2 + y * 2) = 4(x + 3)
(-4 + 2y) = 4(x + 3)

Reorder the terms:
-4 + 2y = 4(3 + x)
-4 + 2y = (3 * 4 + x * 4)
-4 + 2y = (12 + 4x)

Solving
-4 + 2y = 12 + 4x

Solving for variable 'y'.

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

Add '4' to each side of the equation.
-4 + 4 + 2y = 12 + 4 + 4x

Combine like terms: -4 + 4 = 0
0 + 2y = 12 + 4 + 4x
2y = 12 + 4 + 4x

Combine like terms: 12 + 4 = 16
2y = 16 + 4x

Divide each side by '2'.
y = 8 + 2x

Simplifying
y = 8 + 2x

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