Solve 45/12+y=-53/20

$$4 \frac { 5 } { 12 } + y = - 5 \frac { 3 } { 20 }$$

Solve for y

$$y = -\frac{287}{30} = -9\frac{17}{30} \approx -9.566666667$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 60, the least common multiple of 12,20.

$$5\left(4\times 12+5\right)+60y=-3\left(5\times 20+3\right)$$

Multiply 4 and 12 to get 48.

$$5\left(48+5\right)+60y=-3\left(5\times 20+3\right)$$

Add 48 and 5 to get 53.

$$5\times 53+60y=-3\left(5\times 20+3\right)$$

Multiply 5 and 53 to get 265.

$$265+60y=-3\left(5\times 20+3\right)$$

Multiply 5 and 20 to get 100.

$$265+60y=-3\left(100+3\right)$$

Add 100 and 3 to get 103.

$$265+60y=-3\times 103$$

Multiply -3 and 103 to get -309.

$$265+60y=-309$$

Subtract 265 from both sides.

$$60y=-309-265$$

Subtract 265 from -309 to get -574.

$$60y=-574$$

Divide both sides by 60.

$$y=\frac{-574}{60}$$

Reduce the fraction \frac{-574}{60} to lowest terms by extracting and canceling out 2.

$$y=-\frac{287}{30}$$