(y-5)=2(x-1)

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Solution for (y-5)=2(x-1) equation:


Simplifying
(y + -5) = 2(x + -1)

Reorder the terms:
(-5 + y) = 2(x + -1)

Remove parenthesis around (-5 + y)
-5 + y = 2(x + -1)

Reorder the terms:
-5 + y = 2(-1 + x)
-5 + y = (-1 * 2 + x * 2)
-5 + y = (-2 + 2x)

Solving
-5 + y = -2 + 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 = -2 + 5 + 2x

Combine like terms: -5 + 5 = 0
0 + y = -2 + 5 + 2x
y = -2 + 5 + 2x

Combine like terms: -2 + 5 = 3
y = 3 + 2x

Simplifying
y = 3 + 2x

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