Solve -1/2(10y-2)+3=14

$$- \frac { 1 } { 2 } ( 10 y - 2 ) + 3 = 14$$

Solve for y

$$y=-2$$

Steps for Solving Linear Equation

Use the distributive property to multiply -\frac{1}{2} by 10y-2.

$$-\frac{1}{2}\times 10y-\frac{1}{2}\left(-2\right)+3=14$$

Express -\frac{1}{2}\times 10 as a single fraction.

$$\frac{-10}{2}y-\frac{1}{2}\left(-2\right)+3=14$$

Divide -10 by 2 to get -5.

$$-5y-\frac{1}{2}\left(-2\right)+3=14$$

Express -\frac{1}{2}\left(-2\right) as a single fraction.

$$-5y+\frac{-\left(-2\right)}{2}+3=14$$

Multiply -1 and -2 to get 2.

$$-5y+\frac{2}{2}+3=14$$

Divide 2 by 2 to get 1.

$$-5y+1+3=14$$

Add 1 and 3 to get 4.

$$-5y+4=14$$

Subtract 4 from both sides.

$$-5y=14-4$$

Subtract 4 from 14 to get 10.

$$-5y=10$$

Divide both sides by -5.

$$y=\frac{10}{-5}$$

Divide 10 by -5 to get -2.

$$y=-2$$