Solve 5/8y-3=1/2

$$\frac { 5 } { 8 } y - 3 = \frac { 1 } { 2 }$$

Solve for y

$$y = \frac{28}{5} = 5\frac{3}{5} = 5.6$$

Steps for Solving Linear Equation

Add 3 to both sides.

$$\frac{5}{8}y=\frac{1}{2}+3$$

Convert 3 to fraction \frac{6}{2}.

$$\frac{5}{8}y=\frac{1}{2}+\frac{6}{2}$$

Since \frac{1}{2} and \frac{6}{2} have the same denominator, add them by adding their numerators.

$$\frac{5}{8}y=\frac{1+6}{2}$$

Add 1 and 6 to get 7.

$$\frac{5}{8}y=\frac{7}{2}$$

Multiply both sides by \frac{8}{5}, the reciprocal of \frac{5}{8}.

$$y=\frac{7}{2}\times \frac{8}{5}$$

Multiply \frac{7}{2} times \frac{8}{5} by multiplying numerator times numerator and denominator times denominator.

$$y=\frac{7\times 8}{2\times 5}$$

Do the multiplications in the fraction \frac{7\times 8}{2\times 5}.

$$y=\frac{56}{10}$$

Reduce the fraction \frac{56}{10} to lowest terms by extracting and canceling out 2.

$$y=\frac{28}{5}$$