Solve the Inequality for y 5y-1>(3y-1)/4

$5 y - 1 > \frac{3 y - 1}{4}$

Multiply both sides by $4$ .

$(5 y - 1) \cdot 4 > \frac{3 y - 1}{4} \cdot 4$

Simplify.

Simplify the left side.

Simplify $(5 y - 1) \cdot 4$ .

Apply the distributive property.

$5 y \cdot 4 - 1 \cdot 4 > \frac{3 y - 1}{4} \cdot 4$

Multiply.

Multiply $4$ by $5$ .

$20 y - 1 \cdot 4 > \frac{3 y - 1}{4} \cdot 4$

Multiply $- 1$ by $4$ .

$20 y - 4 > \frac{3 y - 1}{4} \cdot 4$

Simplify the right side.

Cancel the common factor of $4$ .

Cancel the common factor.

$20 y - 4 > \frac{3 y - 1}{4} \cdot 4$

Rewrite the expression.

$20 y - 4 > 3 y - 1$

Solve for $y$ .

Move all terms containing $y$ to the left side of the inequality.

Subtract $3 y$ from both sides of the inequality.

$20 y - 4 - 3 y > - 1$

Subtract $3 y$ from $20 y$ .

$17 y - 4 > - 1$

Move all terms not containing $y$ to the right side of the inequality.

Add $4$ to both sides of the inequality.

$17 y > - 1 + 4$

Add $- 1$ and $4$ .

$17 y > 3$

Divide each term in $17 y > 3$ by $17$ and simplify.

Divide each term in $17 y > 3$ by $17$ .

$\frac{17 y}{17} > \frac{3}{17}$

Simplify the left side.

Cancel the common factor of $17$ .

Cancel the common factor.

$\frac{17 y}{17} > \frac{3}{17}$

Divide $y$ by $1$ .

$y > \frac{3}{17}$

The result can be shown in multiple forms.

Inequality Form:

$y > \frac{3}{17}$

Interval Notation:

$(\frac{3}{17}, \infty)$