Solve 2(2x+3)=6+y

$$2 ( 2 x + 3 ) = 6 + y$$

Solve for x

$$x=\frac{y}{4}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 2x+3.

$$4x+6=6+y$$

Subtract 6 from both sides.

$$4x=6+y-6$$

Subtract 6 from 6 to get 0.

$$4x=y$$

Divide both sides by 4.

$$\frac{4x}{4}=\frac{y}{4}$$

Dividing by 4 undoes the multiplication by 4.

$$x=\frac{y}{4}$$

Solve for y

$$y=4x$$

Solution Steps

Use the distributive property to multiply 2 by 2x+3.

$$4x+6=6+y$$

Swap sides so that all variable terms are on the left hand side.

$$6+y=4x+6$$

Subtract 6 from both sides.

$$y=4x+6-6$$

Subtract 6 from 6 to get 0.

$$y=4x$$