Y-4=-2(x-5)

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


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

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

Reorder the terms:
-4 + Y = -2(-5 + x)
-4 + Y = (-5 * -2 + x * -2)
-4 + Y = (10 + -2x)

Solving
-4 + Y = 10 + -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 = 10 + 4 + -2x

Combine like terms: -4 + 4 = 0
0 + Y = 10 + 4 + -2x
Y = 10 + 4 + -2x

Combine like terms: 10 + 4 = 14
Y = 14 + -2x

Simplifying
Y = 14 + -2x

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