Pre-Algebra Examples

$(- 83) (x + y) = (37) (- 83)$

Step 1

Solve for $y$ .

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Step 1.1

Multiply $37$ by $- 83$ .

$- 83 (x + y) = - 3071$

Step 1.2

Divide each term in $- 83 (x + y) = - 3071$ by $- 83$ and simplify.

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Step 1.2.1

Divide each term in $- 83 (x + y) = - 3071$ by $- 83$ .

$\frac{- 83 (x + y)}{- 83} = \frac{- 3071}{- 83}$

Step 1.2.2

Simplify the left side.

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Step 1.2.2.1

Cancel the common factor of $- 83$ .

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Step 1.2.2.1.1

Cancel the common factor.

$\frac{- 83 (x + y)}{- 83} = \frac{- 3071}{- 83}$

Step 1.2.2.1.2

Divide $x + y$ by $1$ .

$x + y = \frac{- 3071}{- 83}$

Step 1.2.3

Simplify the right side.

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Step 1.2.3.1

Divide $- 3071$ by $- 83$ .

$x + y = 37$

Step 1.3

Subtract $x$ from both sides of the equation.

$y = 37 - x$

Step 2

Reorder $37$ and $- x$ .

$y = - x + 37$

Step 3