Solve 4y+3/2=3/5

$$\frac { 4 y + 3 } { 2 } = \frac { 3 } { 5 }$$

Solve for y

$$y=-\frac{9}{20}=-0.45$$

Steps for Solving Linear Equation

Multiply both sides by 2.

$$4y+3=\frac{3}{5}\times 2$$

Express \frac{3}{5}\times 2 as a single fraction.

$$4y+3=\frac{3\times 2}{5}$$

Multiply 3 and 2 to get 6.

$$4y+3=\frac{6}{5}$$

Subtract 3 from both sides.

$$4y=\frac{6}{5}-3$$

Convert 3 to fraction \frac{15}{5}.

$$4y=\frac{6}{5}-\frac{15}{5}$$

Since \frac{6}{5} and \frac{15}{5} have the same denominator, subtract them by subtracting their numerators.

$$4y=\frac{6-15}{5}$$

Subtract 15 from 6 to get -9.

$$4y=-\frac{9}{5}$$

Divide both sides by 4.

$$y=\frac{-\frac{9}{5}}{4}$$

Express \frac{-\frac{9}{5}}{4} as a single fraction.

$$y=\frac{-9}{5\times 4}$$

Multiply 5 and 4 to get 20.

$$y=\frac{-9}{20}$$

Fraction \frac{-9}{20} can be rewritten as -\frac{9}{20} by extracting the negative sign.

$$y=-\frac{9}{20}$$