Solve 4y(x+1)-3=2(yx+1)

$$4 y ( x + 1 ) - 3 = 2 ( y x + 1 )$$

Solve for x

$$x=-2+\frac{5}{2y}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4y by x+1.

$$4yx+4y-3=2\left(yx+1\right)$$

Use the distributive property to multiply 2 by yx+1.

$$4yx+4y-3=2yx+2$$

Subtract 2yx from both sides.

$$4yx+4y-3-2yx=2$$

Combine 4yx and -2yx to get 2yx.

$$2yx+4y-3=2$$

Subtract 4y from both sides.

$$2yx-3=2-4y$$

Add 3 to both sides.

$$2yx=2-4y+3$$

Add 2 and 3 to get 5.

$$2yx=5-4y$$

Divide both sides by 2y.

$$\frac{2yx}{2y}=\frac{5-4y}{2y}$$

Dividing by 2y undoes the multiplication by 2y.

$$x=\frac{5-4y}{2y}$$

Divide 5-4y by 2y.

$$x=-2+\frac{5}{2y}$$

Solve for y

$$y=\frac{5}{2\left(x+2\right)}$$

$$x\neq -2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4y by x+1.

$$4yx+4y-3=2\left(yx+1\right)$$

Use the distributive property to multiply 2 by yx+1.

$$4yx+4y-3=2yx+2$$

Subtract 2yx from both sides.

$$4yx+4y-3-2yx=2$$

Combine 4yx and -2yx to get 2yx.

$$2yx+4y-3=2$$

Add 3 to both sides.

$$2yx+4y=2+3$$

Add 2 and 3 to get 5.

$$2yx+4y=5$$

Combine all terms containing y.

$$\left(2x+4\right)y=5$$

Divide both sides by 2x+4.

$$\frac{\left(2x+4\right)y}{2x+4}=\frac{5}{2x+4}$$

Dividing by 2x+4 undoes the multiplication by 2x+4.

$$y=\frac{5}{2x+4}$$

Divide 5 by 2x+4.

$$y=\frac{5}{2\left(x+2\right)}$$