Solve 25*53/2-24y=-160

$$25 \times \frac{ 53 }{ 2 } -24y = -160$$

Solve for y

$$y = \frac{1645}{48} = 34\frac{13}{48} \approx 34.270833333$$

Steps for Solving Linear Equation

Express 25\times \frac{53}{2} as a single fraction.

$$\frac{25\times 53}{2}-24y=-160$$

Multiply 25 and 53 to get 1325.

$$\frac{1325}{2}-24y=-160$$

Subtract \frac{1325}{2} from both sides.

$$-24y=-160-\frac{1325}{2}$$

Convert -160 to fraction -\frac{320}{2}.

$$-24y=-\frac{320}{2}-\frac{1325}{2}$$

Since -\frac{320}{2} and \frac{1325}{2} have the same denominator, subtract them by subtracting their numerators.

$$-24y=\frac{-320-1325}{2}$$

Subtract 1325 from -320 to get -1645.

$$-24y=-\frac{1645}{2}$$

Divide both sides by -24.

$$y=\frac{-\frac{1645}{2}}{-24}$$

Express \frac{-\frac{1645}{2}}{-24} as a single fraction.

$$y=\frac{-1645}{2\left(-24\right)}$$

Multiply 2 and -24 to get -48.

$$y=\frac{-1645}{-48}$$

Fraction \frac{-1645}{-48} can be simplified to \frac{1645}{48} by removing the negative sign from both the numerator and the denominator.

$$y=\frac{1645}{48}$$