Solve 2(y+4)(1-3y)+5=-5-6y(y+1)

$$2 ( y + 4 ) ( 1 - 3 y ) + 5 = - 5 - 6 y ( y + 1 )$$

Solve for y

$$y = \frac{9}{8} = 1\frac{1}{8} = 1.125$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by y+4.

$$\left(2y+8\right)\left(1-3y\right)+5=-5-6y\left(y+1\right)$$

Use the distributive property to multiply 2y+8 by 1-3y and combine like terms.

$$-22y-6y^{2}+8+5=-5-6y\left(y+1\right)$$

Add 8 and 5 to get 13.

$$-22y-6y^{2}+13=-5-6y\left(y+1\right)$$

Add 6y\left(y+1\right) to both sides.

$$-22y-6y^{2}+13+6y\left(y+1\right)=-5$$

Use the distributive property to multiply 6y by y+1.

$$-22y-6y^{2}+13+6y^{2}+6y=-5$$

Combine -6y^{2} and 6y^{2} to get 0.

$$-22y+13+6y=-5$$

Combine -22y and 6y to get -16y.

$$-16y+13=-5$$

Subtract 13 from both sides.

$$-16y=-5-13$$

Subtract 13 from -5 to get -18.

$$-16y=-18$$

Divide both sides by -16.

$$y=\frac{-18}{-16}$$

Reduce the fraction \frac{-18}{-16} to lowest terms by extracting and canceling out -2.

$$y=\frac{9}{8}$$