y-2=-4(x-2)

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


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

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

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

Solving
-2 + y = 8 + -4x

Solving for variable 'y'.

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

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

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

Combine like terms: 8 + 2 = 10
y = 10 + -4x

Simplifying
y = 10 + -4x

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