Algebra Examples

$7 y = \frac{3}{8} x - 1$

Step 1

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

Step 2

Multiply both sides by $8$ .

$8 (7 y) = 8 (\frac{3}{8} x - 1)$

Step 3

Simplify the left side.

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Step 3.1

Multiply $7$ by $8$ .

$56 y = 8 (\frac{3}{8} x - 1)$

Step 4

Simplify the right side.

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Step 4.1

Simplify $8 (\frac{3}{8} x - 1)$ .

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Step 4.1.1

Combine $\frac{3}{8}$ and $x$ .

$56 y = 8 (\frac{3 x}{8} - 1)$

Step 4.1.2

Apply the distributive property.

$56 y = 8 \frac{3 x}{8} + 8 \cdot - 1$

Step 4.1.3

Cancel the common factor of $8$ .

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Step 4.1.3.1

Cancel the common factor.

$56 y = 8 \frac{3 x}{8} + 8 \cdot - 1$

Step 4.1.3.2

Rewrite the expression.

$56 y = 3 x + 8 \cdot - 1$

Step 4.1.4

Multiply $8$ by $- 1$ .

$56 y = 3 x - 8$

Step 5

Rewrite the equation.

$3 x - 8 = 56 y$

Step 6

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

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Step 6.1

Subtract $56 y$ from both sides of the equation.

$3 x - 8 - 56 y = 0$

Step 6.2

Move $- 8$ .

$3 x - 56 y - 8 = 0$

Step 7

Add $8$ to both sides of the equation.

$3 x - 56 y = 8$

Step 8