Solve 11(7y+2/(6y-2)=5

$$\frac { 11 ( 7 y + 2 } { ( 6 y - 2 ) } = 5$$

Solve for y

$$y=-\frac{32}{47}\approx -0.680851064$$

Steps for Solving Linear Equation

Variable y cannot be equal to \frac{1}{3} since division by zero is not defined. Multiply both sides of the equation by 2\left(3y-1\right).

$$11\left(7y+2\right)=10\left(3y-1\right)$$

Use the distributive property to multiply 11 by 7y+2.

$$77y+22=10\left(3y-1\right)$$

Use the distributive property to multiply 10 by 3y-1.

$$77y+22=30y-10$$

Subtract 30y from both sides.

$$77y+22-30y=-10$$

Combine 77y and -30y to get 47y.

$$47y+22=-10$$

Subtract 22 from both sides.

$$47y=-10-22$$

Subtract 22 from -10 to get -32.

$$47y=-32$$

Divide both sides by 47.

$$y=\frac{-32}{47}$$

Fraction \frac{-32}{47} can be rewritten as -\frac{32}{47} by extracting the negative sign.

$$y=-\frac{32}{47}$$