Solve for y 3/4x+1/4y=5 for y

$\frac{3}{4} x + \frac{1}{4} y = 5$ for $y$

Step 1

Simplify each term.

Combine $\frac{3}{4}$ and $x$ .

$\frac{3 x}{4} + \frac{1}{4} y = 5$

Combine $\frac{1}{4}$ and $y$ .

$\frac{3 x}{4} + \frac{y}{4} = 5$

Step 2

Subtract $\frac{3 x}{4}$ from both sides of the equation.

$\frac{y}{4} = 5 - \frac{3 x}{4}$

Step 3

Multiply both sides of the equation by $4$ .

$4 \frac{y}{4} = 4 (5 - \frac{3 x}{4})$

Step 4

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$4 \frac{y}{4} = 4 (5 - \frac{3 x}{4})$

Rewrite the expression.

$y = 4 (5 - \frac{3 x}{4})$

Simplify the right side.

Simplify $4 (5 - \frac{3 x}{4})$ .

Apply the distributive property.

$y = 4 \cdot 5 + 4 (- \frac{3 x}{4})$

Multiply $4$ by $5$ .

$y = 20 + 4 (- \frac{3 x}{4})$

Cancel the common factor of $4$ .

Move the leading negative in $- \frac{3 x}{4}$ into the numerator.

$y = 20 + 4 \frac{- 3 x}{4}$

Cancel the common factor.

$y = 20 + 4 \frac{- 3 x}{4}$

Rewrite the expression.

$y = 20 - 3 x$

Step 5

Reorder $20$ and $- 3 x$ .

$y = - 3 x + 20$