Solve 41/8-y=11/2

$$4 \frac { 1 } { 8 } - y = 1 \frac { 1 } { 2 }$$

Solve for y

$$y = \frac{21}{8} = 2\frac{5}{8} = 2.625$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 8, the least common multiple of 8,2.

$$4\times 8+1-8y=4\left(1\times 2+1\right)$$

Multiply 4 and 8 to get 32.

$$32+1-8y=4\left(1\times 2+1\right)$$

Add 32 and 1 to get 33.

$$33-8y=4\left(1\times 2+1\right)$$

Multiply 1 and 2 to get 2.

$$33-8y=4\left(2+1\right)$$

Add 2 and 1 to get 3.

$$33-8y=4\times 3$$

Multiply 4 and 3 to get 12.

$$33-8y=12$$

Subtract 33 from both sides.

$$-8y=12-33$$

Subtract 33 from 12 to get -21.

$$-8y=-21$$

Divide both sides by -8.

$$y=\frac{-21}{-8}$$

Fraction \frac{-21}{-8} can be simplified to \frac{21}{8} by removing the negative sign from both the numerator and the denominator.

$$y=\frac{21}{8}$$