Pre-Algebra Examples

$y = - (x - 1) + 6$

Step 1

The standard form of a linear equation is $A x + B y = C$ .

Step 2

Simplify the right side.

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Step 2.1

Simplify $- (x - 1) + 6$ .

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Step 2.1.1

Simplify each term.

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Step 2.1.1.1

Apply the distributive property.

$y = - x - - 1 + 6$

Step 2.1.1.2

Multiply $- 1$ by $- 1$ .

$y = - x + 1 + 6$

Step 2.1.2

Add $1$ and $6$ .

$y = - x + 7$

Step 3

Move all terms containing variables to the left side of the equation.

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Step 3.1

Add $x$ to both sides of the equation.

$y + x = 7$

Step 3.2

Reorder $y$ and $x$ .

$x + y = 7$

Step 4