y-3=-6(x-4)

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Solution for y-3=-6(x-4) equation:


Simplifying
y + -3 = -6(x + -4)

Reorder the terms:
-3 + y = -6(x + -4)

Reorder the terms:
-3 + y = -6(-4 + x)
-3 + y = (-4 * -6 + x * -6)
-3 + y = (24 + -6x)

Solving
-3 + y = 24 + -6x

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 = 24 + 3 + -6x

Combine like terms: -3 + 3 = 0
0 + y = 24 + 3 + -6x
y = 24 + 3 + -6x

Combine like terms: 24 + 3 = 27
y = 27 + -6x

Simplifying
y = 27 + -6x

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