Solve for y -4x+1/2y=1

$- 4 x + \frac{1}{2} y = 1$

Step 1

Combine $\frac{1}{2}$ and $y$ .

$- 4 x + \frac{y}{2} = 1$

Step 2

Add $4 x$ to both sides of the equation.

$\frac{y}{2} = 1 + 4 x$

Step 3

Multiply both sides of the equation by $2$ .

$2 \frac{y}{2} = 2 (1 + 4 x)$

Step 4

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$2 \frac{y}{2} = 2 (1 + 4 x)$

Rewrite the expression.

$y = 2 (1 + 4 x)$

$y = 2 (1 + 4 x)$

$y = 2 (1 + 4 x)$

Simplify the right side.

Simplify $2 (1 + 4 x)$ .

Apply the distributive property.

$y = 2 \cdot 1 + 2 (4 x)$

Multiply.

Multiply $2$ by $1$ .

$y = 2 + 2 (4 x)$

Multiply $4$ by $2$ .

$y = 2 + 8 x$

$y = 2 + 8 x$

$y = 2 + 8 x$

$y = 2 + 8 x$

$y = 2 + 8 x$

Step 5

Reorder $2$ and $8 x$ .

$y = 8 x + 2$

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