Solve 9.6-2(4.5y+3)=1.2(2y-3)+3y

$$9.6 - 2 ( 4.5 y + 3 ) = 1.2 ( 2 y - 3 ) + 3 y$$

Solve for y

$$y=0.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply -2 by 4.5y+3.

$$9.6-9y-6=1.2\left(2y-3\right)+3y$$

Subtract 6 from 9.6 to get 3.6.

$$3.6-9y=1.2\left(2y-3\right)+3y$$

Use the distributive property to multiply 1.2 by 2y-3.

$$3.6-9y=2.4y-3.6+3y$$

Combine 2.4y and 3y to get 5.4y.

$$3.6-9y=5.4y-3.6$$

Subtract 5.4y from both sides.

$$3.6-9y-5.4y=-3.6$$

Combine -9y and -5.4y to get -14.4y.

$$3.6-14.4y=-3.6$$

Subtract 3.6 from both sides.

$$-14.4y=-3.6-3.6$$

Subtract 3.6 from -3.6 to get -7.2.

$$-14.4y=-7.2$$

Divide both sides by -14.4.

$$y=\frac{-7.2}{-14.4}$$

Expand \frac{-7.2}{-14.4} by multiplying both numerator and the denominator by 10.

$$y=\frac{-72}{-144}$$

Reduce the fraction \frac{-72}{-144} to lowest terms by extracting and canceling out -72.

$$y=\frac{1}{2}$$