1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

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Question

$$\frac { 7 - y } { 4 } \lt - 5$$

$y>27$

Multiply both sides by $4$. Since $4$ is positive, the inequality direction remains the same.

$$7-y<-5\times 4$$

Multiply $-5$ and $4$ to get $-20$.

$$7-y<-20$$

Subtract $7$ from both sides.

$$-y<-20-7$$

Subtract $7$ from $-20$ to get $-27$.

$$-y<-27$$

Divide both sides by $-1$. Since $-1$ is negative, the inequality direction is changed.

$$y>\frac{-27}{-1}$$

Fraction $\frac{-27}{-1}$ can be simplified to $27$ by removing the negative sign from both the numerator and the denominator.

$$y>27$$