Solve +6=4-4/3y

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

Solve for y

$$y = -\frac{3}{2} = -1\frac{1}{2} = -1.5$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

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

Subtract 4 from both sides.

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

Subtract 4 from 6 to get 2.

$$-\frac{4}{3}y=2$$

Multiply both sides by -\frac{3}{4}, the reciprocal of -\frac{4}{3}.

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

Express 2\left(-\frac{3}{4}\right) as a single fraction.

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

Multiply 2 and -3 to get -6.

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

Reduce the fraction \frac{-6}{4} to lowest terms by extracting and canceling out 2.

$$y=-\frac{3}{2}$$