Solve -3y-2/2=-12y+1/-6

$$\frac { - 3 y - 2 } { 2 } = \frac { - 12 y + 1 } { - 6 }$$

Solve for y

$$y=-\frac{5}{21}\approx -0.238095238$$

Steps for Solving Linear Equation

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

$$3\left(-3y-2\right)=-\left(-12y+1\right)$$

Use the distributive property to multiply 3 by -3y-2.

$$-9y-6=-\left(-12y+1\right)$$

To find the opposite of -12y+1, find the opposite of each term.

$$-9y-6=-\left(-12y\right)-1$$

The opposite of -12y is 12y.

$$-9y-6=12y-1$$

Subtract 12y from both sides.

$$-9y-6-12y=-1$$

Combine -9y and -12y to get -21y.

$$-21y-6=-1$$

Add 6 to both sides.

$$-21y=-1+6$$

Add -1 and 6 to get 5.

$$-21y=5$$

Divide both sides by -21.

$$y=\frac{5}{-21}$$

Fraction \frac{5}{-21} can be rewritten as -\frac{5}{21} by extracting the negative sign.

$$y=-\frac{5}{21}$$