How to solve |1 - 2y|/4 = 3

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.

Solve |1 - 2y|/4 = 3 | Equatix

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Question

$$\frac{|1-2y|}{4}=3$$

Solve for y

$y = \frac{13}{2} = 6\frac{1}{2} = 6.5$
$y = -\frac{11}{2} = -5\frac{1}{2} = -5.5$

Steps Using Definition of Absolute Value

Combine like terms and use the properties of equality to get the variable on one side of the equal sign and the numbers on the other side. Remember to follow the order of operations.

$$\frac{1}{4}|-2y+1|=3$$

Multiply both sides by $4$.

$$|-2y+1|=12$$

Use the definition of absolute value.

$$-2y+1=12$$ $$-2y+1=-12$$

Subtract $1$ from both sides of the equation.

$$-2y=11$$ $$-2y=-13$$

Divide both sides by $-2$.

$$y=-\frac{11}{2}$$ $$y=\frac{13}{2}$$

Show Solution