Solve 17-4y-5/2=12-5y

$$17- \frac{ 4y-5 }{ 2 } = 12-5y$$

Solve for y

$$y = -\frac{5}{2} = -2\frac{1}{2} = -2.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$34-\left(4y-5\right)=24-10y$$

To find the opposite of 4y-5, find the opposite of each term.

$$34-4y-\left(-5\right)=24-10y$$

The opposite of -5 is 5.

$$34-4y+5=24-10y$$

Add 34 and 5 to get 39.

$$39-4y=24-10y$$

Add 10y to both sides.

$$39-4y+10y=24$$

Combine -4y and 10y to get 6y.

$$39+6y=24$$

Subtract 39 from both sides.

$$6y=24-39$$

Subtract 39 from 24 to get -15.

$$6y=-15$$

Divide both sides by 6.

$$y=\frac{-15}{6}$$

Reduce the fraction \frac{-15}{6} to lowest terms by extracting and canceling out 3.

$$y=-\frac{5}{2}$$