Solve for y2 ((y_1-y_2)x)/7=B

$\frac{(y_{1} - y_{2}) x}{7} = B$

Multiply both sides by $7$ .

$\frac{(y_{1} - y_{2}) x}{7} \cdot 7 = B \cdot 7$

Simplify.

Simplify the left side.

Simplify $\frac{(y_{1} - y_{2}) x}{7} \cdot 7$ .

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{(y_{1} - y_{2}) x}{7} \cdot 7 = B \cdot 7$

Rewrite the expression.

$(y_{1} - y_{2}) x = B \cdot 7$

Apply the distributive property.

$y_{1} x - y_{2} x = B \cdot 7$

Simplify the expression.

Reorder $y_{1}$ and $x$ .

$x y_{1} - y_{2} x = B \cdot 7$

Move $y_{2}$ .

$x y_{1} - 1 x y_{2} = B \cdot 7$

Simplify the right side.

Move $7$ to the left of $B$ .

$x y_{1} - 1 x y_{2} = 7 B$

Solve for $y_{1}$ .

Rewrite $- 1 x$ as $- x$ .

$x y_{1} - x y_{2} = 7 B$

Add $x y_{2}$ to both sides of the equation.

$x y_{1} = 7 B + x y_{2}$

Divide each term in $x y_{1} = 7 B + x y_{2}$ by $x$ and simplify.

Divide each term in $x y_{1} = 7 B + x y_{2}$ by $x$ .

$\frac{x y_{1}}{x} = \frac{7 B}{x} + \frac{x y_{2}}{x}$

Simplify the left side.

Cancel the common factor of $x$ .

Cancel the common factor.

$\frac{x y_{1}}{x} = \frac{7 B}{x} + \frac{x y_{2}}{x}$

Divide $y_{1}$ by $1$ .

$y_{1} = \frac{7 B}{x} + \frac{x y_{2}}{x}$

Simplify the right side.

Cancel the common factor of $x$ .

Cancel the common factor.

$y_{1} = \frac{7 B}{x} + \frac{x y_{2}}{x}$

Divide $y_{2}$ by $1$ .

$y_{1} = \frac{7 B}{x} + y_{2}$