Solve -{3+8[-21+4y]-29}=-5

$$- \{ 3 + 8 [ - 21 + 4 y ] - 29 \} = - 5$$

Solve for y

$$y = \frac{199}{32} = 6\frac{7}{32} = 6.21875$$

Steps for Solving Linear Equation

Use the distributive property to multiply 8 by -21+4y.

$$-\left(3-168+32y-29\right)=-5$$

Subtract 168 from 3 to get -165.

$$-\left(-165+32y-29\right)=-5$$

Subtract 29 from -165 to get -194.

$$-\left(-194+32y\right)=-5$$

To find the opposite of -194+32y, find the opposite of each term.

$$-\left(-194\right)-32y=-5$$

The opposite of -194 is 194.

$$194-32y=-5$$

Subtract 194 from both sides.

$$-32y=-5-194$$

Subtract 194 from -5 to get -199.

$$-32y=-199$$

Divide both sides by -32.

$$y=\frac{-199}{-32}$$

Fraction \frac{-199}{-32} can be simplified to \frac{199}{32} by removing the negative sign from both the numerator and the denominator.

$$y=\frac{199}{32}$$