Y-5=-4(x-2)

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


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

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

Reorder the terms:
-5 + Y = -4(-2 + x)
-5 + Y = (-2 * -4 + x * -4)
-5 + Y = (8 + -4x)

Solving
-5 + Y = 8 + -4x

Solving for variable 'Y'.

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

Add '5' to each side of the equation.
-5 + 5 + Y = 8 + 5 + -4x

Combine like terms: -5 + 5 = 0
0 + Y = 8 + 5 + -4x
Y = 8 + 5 + -4x

Combine like terms: 8 + 5 = 13
Y = 13 + -4x

Simplifying
Y = 13 + -4x

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