Solve -37/40y=18.5

$$- \frac { 37 } { 40 } y = 18.5$$

Solve for y

$$y=-20$$

Steps for Solving Linear Equation

Multiply both sides by -\frac{40}{37}, the reciprocal of -\frac{37}{40}.

$$y=18.5\left(-\frac{40}{37}\right)$$

Convert decimal number 18.5 to fraction \frac{185}{10}. Reduce the fraction \frac{185}{10} to lowest terms by extracting and canceling out 5.

$$y=\frac{37}{2}\left(-\frac{40}{37}\right)$$

Multiply \frac{37}{2} times -\frac{40}{37} by multiplying numerator times numerator and denominator times denominator.

$$y=\frac{37\left(-40\right)}{2\times 37}$$

Cancel out 37 in both numerator and denominator.

$$y=\frac{-40}{2}$$

Divide -40 by 2 to get -20.

$$y=-20$$