Solve y=8(x+1)/w

$$y = \frac { 8 ( x + 1 ) } { w }$$

Solve for w

$$\left\{\begin{matrix}w=\frac{8\left(x+1\right)}{y}\text{, }&x\neq -1\text{ and }y\neq 0\\w\neq 0\text{, }&y=0\text{ and }x=-1\end{matrix}\right.$$

Steps for Solving Linear Equation

Variable w cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by w.

$$yw=8\left(x+1\right)$$

Use the distributive property to multiply 8 by x+1.

$$yw=8x+8$$

Divide both sides by y.

$$\frac{yw}{y}=\frac{8x+8}{y}$$

Dividing by y undoes the multiplication by y.

$$w=\frac{8x+8}{y}$$

Divide 8+8x by y.

$$w=\frac{8\left(x+1\right)}{y}$$

Variable w cannot be equal to 0.

$$w=\frac{8\left(x+1\right)}{y}\text{, }w\neq 0$$

Solve for x

$$x=\frac{wy-8}{8}$$

$$w\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by w.

$$yw=8\left(x+1\right)$$

Use the distributive property to multiply 8 by x+1.

$$yw=8x+8$$

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

$$8x+8=yw$$

Subtract 8 from both sides.

$$8x=yw-8$$

The equation is in standard form.

$$8x=wy-8$$

Divide both sides by 8.

$$\frac{8x}{8}=\frac{wy-8}{8}$$

Dividing by 8 undoes the multiplication by 8.

$$x=\frac{wy-8}{8}$$

Divide yw-8 by 8.

$$x=\frac{wy}{8}-1$$