Solve 2(y-5)=8y+1-2(-6y-2)

$$2 ( y - 5 ) = 8 y + 1 - 2 ( - 6 y - 2 )$$

Solve for y

$$y=-\frac{5}{6}\approx -0.833333333$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by y-5.

$$2y-10=8y+1-2\left(-6y-2\right)$$

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

$$2y-10=8y+1+12y+4$$

Combine 8y and 12y to get 20y.

$$2y-10=20y+1+4$$

Add 1 and 4 to get 5.

$$2y-10=20y+5$$

Subtract 20y from both sides.

$$2y-10-20y=5$$

Combine 2y and -20y to get -18y.

$$-18y-10=5$$

Add 10 to both sides.

$$-18y=5+10$$

Add 5 and 10 to get 15.

$$-18y=15$$

Divide both sides by -18.

$$y=\frac{15}{-18}$$

Reduce the fraction \frac{15}{-18} to lowest terms by extracting and canceling out 3.

$$y=-\frac{5}{6}$$