Solve 12(19/7)-2y=37

$$12( \frac{ 19 }{ 7 } )-2y=37$$

Solve for y

$$y = -\frac{31}{14} = -2\frac{3}{14} \approx -2.214285714$$

Steps for Solving Linear Equation

Express 12\times \frac{19}{7} as a single fraction.

$$\frac{12\times 19}{7}-2y=37$$

Multiply 12 and 19 to get 228.

$$\frac{228}{7}-2y=37$$

Subtract \frac{228}{7} from both sides.

$$-2y=37-\frac{228}{7}$$

Convert 37 to fraction \frac{259}{7}.

$$-2y=\frac{259}{7}-\frac{228}{7}$$

Since \frac{259}{7} and \frac{228}{7} have the same denominator, subtract them by subtracting their numerators.

$$-2y=\frac{259-228}{7}$$

Subtract 228 from 259 to get 31.

$$-2y=\frac{31}{7}$$

Divide both sides by -2.

$$y=\frac{\frac{31}{7}}{-2}$$

Express \frac{\frac{31}{7}}{-2} as a single fraction.

$$y=\frac{31}{7\left(-2\right)}$$

Multiply 7 and -2 to get -14.

$$y=\frac{31}{-14}$$

Fraction \frac{31}{-14} can be rewritten as -\frac{31}{14} by extracting the negative sign.

$$y=-\frac{31}{14}$$