Solve 6-10y/-12=1-15y/6

$$\frac { 6 - 10 y } { - 12 } = \frac { 1 - 15 y } { 6 }$$

Solve for y

$$y=\frac{1}{5}=0.2$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of -12,6.

$$-\left(6-10y\right)=2\left(1-15y\right)$$

To find the opposite of 6-10y, find the opposite of each term.

$$-6-\left(-10y\right)=2\left(1-15y\right)$$

The opposite of -10y is 10y.

$$-6+10y=2\left(1-15y\right)$$

Use the distributive property to multiply 2 by 1-15y.

$$-6+10y=2-30y$$

Add 30y to both sides.

$$-6+10y+30y=2$$

Combine 10y and 30y to get 40y.

$$-6+40y=2$$

Add 6 to both sides.

$$40y=2+6$$

Add 2 and 6 to get 8.

$$40y=8$$

Divide both sides by 40.

$$y=\frac{8}{40}$$

Reduce the fraction \frac{8}{40} to lowest terms by extracting and canceling out 8.

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