Simplify 4y+3-2(x+2y+9)

$4 y + 3 - 2 (x + 2 y + 9)$

Simplify each term.

Apply the distributive property.

$4 y + 3 - 2 x - 2 (2 y) - 2 \cdot 9$

Simplify.

Multiply $2$ by $- 2$ .

$4 y + 3 - 2 x - 4 y - 2 \cdot 9$

Multiply $- 2$ by $9$ .

$4 y + 3 - 2 x - 4 y - 18$

Simplify by adding terms.

Combine the opposite terms in $4 y + 3 - 2 x - 4 y - 18$ .

Subtract $4 y$ from $4 y$ .

$3 - 2 x + 0 - 18$

Add $3 - 2 x$ and $0$ .

$3 - 2 x - 18$

Subtract $18$ from $3$ .

$- 2 x - 15$