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

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


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

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

Remove parenthesis around (-3 + y)
-3 + y = -2(x + -4)

Reorder the terms:
-3 + y = -2(-4 + x)
-3 + y = (-4 * -2 + x * -2)
-3 + y = (8 + -2x)

Solving
-3 + y = 8 + -2x

Solving for variable 'y'.

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

Add '3' to each side of the equation.
-3 + 3 + y = 8 + 3 + -2x

Combine like terms: -3 + 3 = 0
0 + y = 8 + 3 + -2x
y = 8 + 3 + -2x

Combine like terms: 8 + 3 = 11
y = 11 + -2x

Simplifying
y = 11 + -2x

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