Solve 2(3y-2)-4(2y-5)=9

$$2 ( 3 y - 2 ) - 4 ( 2 y - 5 ) = 9$$

Solve for y

$$y = \frac{7}{2} = 3\frac{1}{2} = 3.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 3y-2.

$$6y-4-4\left(2y-5\right)=9$$

Use the distributive property to multiply -4 by 2y-5.

$$6y-4-8y+20=9$$

Combine 6y and -8y to get -2y.

$$-2y-4+20=9$$

Add -4 and 20 to get 16.

$$-2y+16=9$$

Subtract 16 from both sides.

$$-2y=9-16$$

Subtract 16 from 9 to get -7.

$$-2y=-7$$

Divide both sides by -2.

$$y=\frac{-7}{-2}$$

Fraction \frac{-7}{-2} can be simplified to \frac{7}{2} by removing the negative sign from both the numerator and the denominator.

$$y=\frac{7}{2}$$