Solve (-6-3y/2)-y=2(y+1)

$$( - 6 - \frac { 3 y } { 2 } ) - y = 2 ( y + 1 )$$

Solve for y

$$y = -\frac{16}{9} = -1\frac{7}{9} \approx -1.777777778$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$-12-3y-2y=4\left(y+1\right)$$

Combine -3y and -2y to get -5y.

$$-12-5y=4\left(y+1\right)$$

Use the distributive property to multiply 4 by y+1.

$$-12-5y=4y+4$$

Subtract 4y from both sides.

$$-12-5y-4y=4$$

Combine -5y and -4y to get -9y.

$$-12-9y=4$$

Add 12 to both sides.

$$-9y=4+12$$

Add 4 and 12 to get 16.

$$-9y=16$$

Divide both sides by -9.

$$y=\frac{16}{-9}$$

Fraction \frac{16}{-9} can be rewritten as -\frac{16}{9} by extracting the negative sign.

$$y=-\frac{16}{9}$$