Solve 1/2(-2/3)+y=4

$$\frac { 1 } { 2 } ( - \frac { 2 } { 3 } ) + y = 4$$

Solve for y

$$y = \frac{13}{3} = 4\frac{1}{3} \approx 4.333333333$$

Steps for Solving Linear Equation

Multiply \frac{1}{2} times -\frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\left(-2\right)}{2\times 3}+y=4$$

Do the multiplications in the fraction \frac{1\left(-2\right)}{2\times 3}.

$$\frac{-2}{6}+y=4$$

Reduce the fraction \frac{-2}{6} to lowest terms by extracting and canceling out 2.

$$-\frac{1}{3}+y=4$$

Add \frac{1}{3} to both sides.

$$y=4+\frac{1}{3}$$

Convert 4 to fraction \frac{12}{3}.

$$y=\frac{12}{3}+\frac{1}{3}$$

Since \frac{12}{3} and \frac{1}{3} have the same denominator, add them by adding their numerators.

$$y=\frac{12+1}{3}$$

Add 12 and 1 to get 13.

$$y=\frac{13}{3}$$