Graph 4y+3<=y+6

$4 y + 3 \leq y + 6$

Step 1

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

Subtract $y$ from both sides of the inequality.

$4 y + 3 - y \leq 6$

Subtract $y$ from $4 y$ .

$3 y + 3 \leq 6$

Step 2

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

Subtract $3$ from both sides of the inequality.

$3 y \leq 6 - 3$

Subtract $3$ from $6$ .

$3 y \leq 3$

Step 3

Divide each term in $3 y \leq 3$ by $3$ and simplify.

Divide each term in $3 y \leq 3$ by $3$ .

$\frac{3 y}{3} \leq \frac{3}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 y}{3} \leq \frac{3}{3}$

Divide $y$ by $1$ .

$y \leq \frac{3}{3}$

Simplify the right side.

Divide $3$ by $3$ .

$y \leq 1$

Step 4