y-2=(x-3)

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


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

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

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

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

Solving
-2 + y = -3 + x

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 = -3 + 2 + x

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

Combine like terms: -3 + 2 = -1
y = -1 + x

Simplifying
y = -1 + x

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