Solve for y 2x+1=4y

$2 x + 1 = 4 y$

Step 1

Rewrite the equation as $4 y = 2 x + 1$ .

$4 y = 2 x + 1$

Step 2

Divide each term in $4 y = 2 x + 1$ by $4$ and simplify.

Divide each term in $4 y = 2 x + 1$ by $4$ .

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

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

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

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

Simplify the right side.

Cancel the common factor of $2$ and $4$ .

Factor $2$ out of $2 x$ .

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

Cancel the common factors.

Factor $2$ out of $4$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

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

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

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

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

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