Solve for: 2 y+5 (x-1) = 20+y

Expression: $$2 y + 5 ( x - 1 ) = 20 + y$$

Use the distributive property to multiply $5$ by $x-1$.

$$2y+5x-5=20+y$$

Subtract $2y$ from both sides.

$$5x-5=20+y-2y$$

Combine $y$ and $-2y$ to get $-y$.

$$5x-5=20-y$$

Add $5$ to both sides.

$$5x=20-y+5$$

Add $20$ and $5$ to get $25$.

$$5x=25-y$$

Divide both sides by $5$.

$$\frac{5x}{5}=\frac{25-y}{5}$$

Dividing by $5$ undoes the multiplication by $5$.

$$x=\frac{25-y}{5}$$

Divide $25-y$ by $5$.

$$x=-\frac{y}{5}+5$$