Y-2=-5(x-4)

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Solution for Y-2=-5(x-4) equation:


Simplifying
Y + -2 = -5(x + -4)

Reorder the terms:
-2 + Y = -5(x + -4)

Reorder the terms:
-2 + Y = -5(-4 + x)
-2 + Y = (-4 * -5 + x * -5)
-2 + Y = (20 + -5x)

Solving
-2 + Y = 20 + -5x

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 = 20 + 2 + -5x

Combine like terms: -2 + 2 = 0
0 + Y = 20 + 2 + -5x
Y = 20 + 2 + -5x

Combine like terms: 20 + 2 = 22
Y = 22 + -5x

Simplifying
Y = 22 + -5x

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