Solve y-32/180=y-273.15/100

$$\frac { y - 32 } { 180 } = \frac { y - 273.15 } { 100 }$$

Solve for y

$$y=574.5875$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 900, the least common multiple of 180,100.

$$5\left(y-32\right)=9\left(y-273.15\right)$$

Use the distributive property to multiply 5 by y-32.

$$5y-160=9\left(y-273.15\right)$$

Use the distributive property to multiply 9 by y-273.15.

$$5y-160=9y-2458.35$$

Subtract 9y from both sides.

$$5y-160-9y=-2458.35$$

Combine 5y and -9y to get -4y.

$$-4y-160=-2458.35$$

Add 160 to both sides.

$$-4y=-2458.35+160$$

Add -2458.35 and 160 to get -2298.35.

$$-4y=-2298.35$$

Divide both sides by -4.

$$y=\frac{-2298.35}{-4}$$

Expand \frac{-2298.35}{-4} by multiplying both numerator and the denominator by 100.

$$y=\frac{-229835}{-400}$$

Reduce the fraction \frac{-229835}{-400} to lowest terms by extracting and canceling out -5.

$$y=\frac{45967}{80}$$