Solve (((1412-25)div8)+0875)=(((1412-25)divx)+y)

$$(((1412-25) \div 8)+0875)=(((1412-25) \div x)+y)$$

Solve for x

$$x=-\frac{11096}{8y-1387}$$

$$y\neq \frac{1387}{8}$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 8x, the least common multiple of 8,x.

$$x\left(1412-25\right)+0\times 875\times 8x=8\left(1412-25\right)+8xy$$

Subtract 25 from 1412 to get 1387.

$$x\times 1387+0\times 875\times 8x=8\left(1412-25\right)+8xy$$

Multiply 0 and 875 to get 0.

$$x\times 1387+0\times 8x=8\left(1412-25\right)+8xy$$

Multiply 0 and 8 to get 0.

$$x\times 1387+0x=8\left(1412-25\right)+8xy$$

Anything times zero gives zero.

$$x\times 1387+0=8\left(1412-25\right)+8xy$$

Anything plus zero gives itself.

$$x\times 1387=8\left(1412-25\right)+8xy$$

Subtract 25 from 1412 to get 1387.

$$x\times 1387=8\times 1387+8xy$$

Multiply 8 and 1387 to get 11096.

$$x\times 1387=11096+8xy$$

Subtract 8xy from both sides.

$$x\times 1387-8xy=11096$$

Combine all terms containing x.

$$\left(1387-8y\right)x=11096$$

Divide both sides by 1387-8y.

$$\frac{\left(1387-8y\right)x}{1387-8y}=\frac{11096}{1387-8y}$$

Dividing by 1387-8y undoes the multiplication by 1387-8y.

$$x=\frac{11096}{1387-8y}$$

Variable x cannot be equal to 0.

$$x=\frac{11096}{1387-8y}\text{, }x\neq 0$$

Solve for y

$$y=\frac{1387}{8}-\frac{1387}{x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 8x, the least common multiple of 8,x.

$$x\left(1412-25\right)+0\times 875\times 8x=8\left(1412-25\right)+8xy$$

Subtract 25 from 1412 to get 1387.

$$x\times 1387+0\times 875\times 8x=8\left(1412-25\right)+8xy$$

Multiply 0 and 875 to get 0.

$$x\times 1387+0\times 8x=8\left(1412-25\right)+8xy$$

Multiply 0 and 8 to get 0.

$$x\times 1387+0x=8\left(1412-25\right)+8xy$$

Anything times zero gives zero.

$$x\times 1387+0=8\left(1412-25\right)+8xy$$

Anything plus zero gives itself.

$$x\times 1387=8\left(1412-25\right)+8xy$$

Subtract 25 from 1412 to get 1387.

$$x\times 1387=8\times 1387+8xy$$

Multiply 8 and 1387 to get 11096.

$$x\times 1387=11096+8xy$$

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

$$11096+8xy=x\times 1387$$

Subtract 11096 from both sides.

$$8xy=x\times 1387-11096$$

The equation is in standard form.

$$8xy=1387x-11096$$

Divide both sides by 8x.

$$\frac{8xy}{8x}=\frac{1387x-11096}{8x}$$

Dividing by 8x undoes the multiplication by 8x.

$$y=\frac{1387x-11096}{8x}$$

Divide -11096+1387x by 8x.

$$y=\frac{1387}{8}-\frac{1387}{x}$$