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

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

Step 1

Simplify $2 (y - 2)$ .

Rewrite.

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

Simplify by adding zeros.

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

Apply the distributive property.

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

Multiply $2$ by $- 2$ .

$2 y - 4 > - 4 + 2 y$

Step 2

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

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

$2 y - 4 - 2 y > - 4$

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

Subtract $2 y$ from $2 y$ .

$0 - 4 > - 4$

Subtract $4$ from $0$ .

$- 4 > - 4$

Step 3

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

No solution