(y-3)=2(x-5)

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Solution for (y-3)=2(x-5) equation:


Simplifying
(y + -3) = 2(x + -5)

Reorder the terms:
(-3 + y) = 2(x + -5)

Remove parenthesis around (-3 + y)
-3 + y = 2(x + -5)

Reorder the terms:
-3 + y = 2(-5 + x)
-3 + y = (-5 * 2 + x * 2)
-3 + y = (-10 + 2x)

Solving
-3 + y = -10 + 2x

Solving for variable 'y'.

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

Add '3' to each side of the equation.
-3 + 3 + y = -10 + 3 + 2x

Combine like terms: -3 + 3 = 0
0 + y = -10 + 3 + 2x
y = -10 + 3 + 2x

Combine like terms: -10 + 3 = -7
y = -7 + 2x

Simplifying
y = -7 + 2x

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