Question

solve for y.
|2y + 7| - 30 = -5
if there is more than one solution, separate them with commas.
if there is no solution, click on
o solution\.
y =

Explanation:

Step1: Isolate the absolute value term

Add 30 to both sides of the equation.
$$|2y+7| - 30 + 30 = -5 + 30$$
$$|2y+7| = 25$$

Step2: Split into two linear equations

Absolute value equals positive/negative value.
$$2y+7 = 25 \quad \text{or} \quad 2y+7 = -25$$

Step3: Solve first linear equation

Subtract 7, then divide by 2.
$$2y = 25 - 7$$
$$2y = 18$$
$$y = \frac{18}{2} = 9$$

Step4: Solve second linear equation

Subtract 7, then divide by 2.
$$2y = -25 - 7$$
$$2y = -32$$
$$y = \frac{-32}{2} = -16$$

Answer:

$9, -16$