Solve by Substitution 2x-2y=2 y=x-1

$2 x - 2 y = 2$ $y = x - 1$

Replace all occurrences of $y$ with $x - 1$ in each equation.

Replace all occurrences of $y$ in $2 x - 2 y = 2$ with $x - 1$ .

$2 x - 2 (x - 1) = 2$

$y = x - 1$

Simplify the left side.

Simplify $2 x - 2 (x - 1)$ .

Simplify each term.

Apply the distributive property.

$2 x - 2 x - 2 \cdot - 1 = 2$

$y = x - 1$

Multiply $- 2$ by $- 1$ .

$2 x - 2 x + 2 = 2$

$y = x - 1$

$2 x - 2 x + 2 = 2$

$y = x - 1$

Simplify by adding terms.

Subtract $2 x$ from $2 x$ .

$0 + 2 = 2$

$y = x - 1$

Add $0$ and $2$ .

$2 = 2$

$y = x - 1$

$2 = 2$

$y = x - 1$

$2 = 2$

$y = x - 1$

$2 = 2$

$y = x - 1$

$2 = 2$

$y = x - 1$

Remove any equations from the system that are always true.

$y = x - 1$

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