Solve (-2y-1/frac{3{3}})-y/2=-5/6

$$( \frac{ -2y-1 }{ \frac{ 3 }{ 3 } } )- \frac{ y }{ 2 } = \frac{ -5 }{ 6 }$$

Solve for y

$$y=-\frac{1}{15}\approx -0.066666667$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 2,6.

$$6\left(-2y-1\right)-3y=-5$$

Use the distributive property to multiply 6 by -2y-1.

$$-12y-6-3y=-5$$

Combine -12y and -3y to get -15y.

$$-15y-6=-5$$

Add 6 to both sides.

$$-15y=-5+6$$

Add -5 and 6 to get 1.

$$-15y=1$$

Divide both sides by -15.

$$y=\frac{1}{-15}$$

Fraction \frac{1}{-15} can be rewritten as -\frac{1}{15} by extracting the negative sign.

$$y=-\frac{1}{15}$$