Solve -16/5+4y=14

$$- \frac{ 16 }{ 5 } +4y = 14$$

Solve for y

$$y = \frac{43}{10} = 4\frac{3}{10} = 4.3$$

Steps for Solving Linear Equation

Add \frac{16}{5} to both sides.

$$4y=14+\frac{16}{5}$$

Convert 14 to fraction \frac{70}{5}.

$$4y=\frac{70}{5}+\frac{16}{5}$$

Since \frac{70}{5} and \frac{16}{5} have the same denominator, add them by adding their numerators.

$$4y=\frac{70+16}{5}$$

Add 70 and 16 to get 86.

$$4y=\frac{86}{5}$$

Divide both sides by 4.

$$y=\frac{\frac{86}{5}}{4}$$

Express \frac{\frac{86}{5}}{4} as a single fraction.

$$y=\frac{86}{5\times 4}$$

Multiply 5 and 4 to get 20.

$$y=\frac{86}{20}$$

Reduce the fraction \frac{86}{20} to lowest terms by extracting and canceling out 2.

$$y=\frac{43}{10}$$