Solve y/2-2y-7y/3=(2y-5)/6

$$\frac { y } { 2 } - \frac { 2 y - 7 y } { 3 } = \frac { ( 2 y - 5 ) } { 6 }$$

Solve for y

$$y=-\frac{5}{11}\approx -0.454545455$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 2,3,6.

$$3y-2\left(2y-7y\right)=2y-5$$

Combine 2y and -7y to get -5y.

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

Multiply -2 and -5 to get 10.

$$3y+10y=2y-5$$

Combine 3y and 10y to get 13y.

$$13y=2y-5$$

Subtract 2y from both sides.

$$13y-2y=-5$$

Combine 13y and -2y to get 11y.

$$11y=-5$$

Divide both sides by 11.

$$y=\frac{-5}{11}$$

Fraction \frac{-5}{11} can be rewritten as -\frac{5}{11} by extracting the negative sign.

$$y=-\frac{5}{11}$$