y-4=-2(x-4)

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


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

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

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

Solving
-4 + y = 8 + -2x

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 + y = 8 + 4 + -2x

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

Combine like terms: 8 + 4 = 12
y = 12 + -2x

Simplifying
y = 12 + -2x

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