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

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


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

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

Remove parenthesis around (-5 + Y)
-5 + Y = -2(x + 2)

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

Solving
-5 + Y = -4 + -2x

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 = -4 + 5 + -2x

Combine like terms: -5 + 5 = 0
0 + Y = -4 + 5 + -2x
Y = -4 + 5 + -2x

Combine like terms: -4 + 5 = 1
Y = 1 + -2x

Simplifying
Y = 1 + -2x

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