Solve 2(10-0.5y)=-(1.5y-2)

$$2(10-0.5y)=-(1.5y-2)$$

Solve for y

$$y=-36$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 10-0.5y.

$$20-y=-\left(1.5y-2\right)$$

To find the opposite of 1.5y-2, find the opposite of each term.

$$20-y=-1.5y-\left(-2\right)$$

The opposite of -2 is 2.

$$20-y=-1.5y+2$$

Add 1.5y to both sides.

$$20-y+1.5y=2$$

Combine -y and 1.5y to get 0.5y.

$$20+0.5y=2$$

Subtract 20 from both sides.

$$0.5y=2-20$$

Subtract 20 from 2 to get -18.

$$0.5y=-18$$

Divide both sides by 0.5.

$$y=\frac{-18}{0.5}$$

Expand \frac{-18}{0.5} by multiplying both numerator and the denominator by 10.

$$y=\frac{-180}{5}$$

Divide -180 by 5 to get -36.

$$y=-36$$