Solve the Inequality for y 2y+4>2(3+y)

$2 y + 4 > 2 (3 + y)$

Step 1

Simplify $2 (3 + y)$ .

Rewrite.

$2 y + 4 > 0 + 0 + 2 (3 + y)$

Simplify by adding zeros.

$2 y + 4 > 2 (3 + y)$

Apply the distributive property.

$2 y + 4 > 2 \cdot 3 + 2 y$

Multiply $2$ by $3$ .

$2 y + 4 > 6 + 2 y$

Step 2

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

Subtract $2 y$ from both sides of the inequality.

$2 y + 4 - 2 y > 6$

Combine the opposite terms in $2 y + 4 - 2 y$ .

Subtract $2 y$ from $2 y$ .

$0 + 4 > 6$

Add $0$ and $4$ .

$4 > 6$

Step 3

Since $4 < 6$ , there are no solutions.

No solution