(y-2)=4(x-5)

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


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

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

Remove parenthesis around (-2 + y)
-2 + y = 4(x + -5)

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

Solving
-2 + y = -20 + 4x

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 + 4x

Combine like terms: -2 + 2 = 0
0 + y = -20 + 2 + 4x
y = -20 + 2 + 4x

Combine like terms: -20 + 2 = -18
y = -18 + 4x

Simplifying
y = -18 + 4x

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