Solve (y/x-7)*2+7+6=7-3

$$( \frac { y } { x } - 7 ) \times 2 + 7 + 6 = 7 - 3$$

Solve for y

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

$$x\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by x.

$$\left(\frac{y}{x}-7\right)\times 2x+x\times 7+x\times 6=x\times 7+x\left(-3\right)$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 7 times \frac{x}{x}.

$$\left(\frac{y}{x}-\frac{7x}{x}\right)\times 2x+x\times 7+x\times 6=x\times 7+x\left(-3\right)$$

Since \frac{y}{x} and \frac{7x}{x} have the same denominator, subtract them by subtracting their numerators.

$$\frac{y-7x}{x}\times 2x+x\times 7+x\times 6=x\times 7+x\left(-3\right)$$

Express \frac{y-7x}{x}\times 2 as a single fraction.

$$\frac{\left(y-7x\right)\times 2}{x}x+x\times 7+x\times 6=x\times 7+x\left(-3\right)$$

Express \frac{\left(y-7x\right)\times 2}{x}x as a single fraction.

$$\frac{\left(y-7x\right)\times 2x}{x}+x\times 7+x\times 6=x\times 7+x\left(-3\right)$$

Cancel out x in both numerator and denominator.

$$2\left(-7x+y\right)+x\times 7+x\times 6=x\times 7+x\left(-3\right)$$

Use the distributive property to multiply 2 by -7x+y.

$$-14x+2y+x\times 7+x\times 6=x\times 7+x\left(-3\right)$$

Combine -14x and x\times 7 to get -7x.

$$-7x+2y+x\times 6=x\times 7+x\left(-3\right)$$

Combine -7x and x\times 6 to get -x.

$$-x+2y=x\times 7+x\left(-3\right)$$

Combine x\times 7 and x\left(-3\right) to get 4x.

$$-x+2y=4x$$

Add x to both sides.

$$2y=4x+x$$

Combine 4x and x to get 5x.

$$2y=5x$$

Divide both sides by 2.

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

Dividing by 2 undoes the multiplication by 2.

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

Solve for x

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

$$y\neq 0$$