Solve -5/6=y-0/(-3)-3

$$- \frac { 5 } { 6 } = \frac { y - 0 } { ( - 3 ) - 3 }$$

Solve for y

$$y=5$$

Steps for Solving Linear Equation

Subtract 3 from -3 to get -6.

$$-\frac{5}{6}=\frac{y-0}{-6}$$

Divide each term of y-0 by -6 to get -\frac{1}{6}y-0.

$$-\frac{5}{6}=-\frac{1}{6}y-0$$

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

$$-\frac{1}{6}y-0=-\frac{5}{6}$$

Add 0 to both sides.

$$-\frac{1}{6}y=-\frac{5}{6}+0$$

Add -\frac{5}{6} and 0 to get -\frac{5}{6}.

$$-\frac{1}{6}y=-\frac{5}{6}$$

Multiply both sides by -6, the reciprocal of -\frac{1}{6}.

$$y=-\frac{5}{6}\left(-6\right)$$

Express -\frac{5}{6}\left(-6\right) as a single fraction.

$$y=\frac{-5\left(-6\right)}{6}$$

Multiply -5 and -6 to get 30.

$$y=\frac{30}{6}$$

Divide 30 by 6 to get 5.

$$y=5$$