Question

practice reasoning about multi - step equations
complete the hanger diagram to model the equation ( 3y + 8 = 14 ).
use the number pad and y to enter your answers in the boxes.

Explanation:

Step1: Analyze the equation structure

The equation is \(3y + 8=14\). On the left - hand side of the equation, there are three terms with the variable \(y\) (represented by the three circles) and a constant term \(8\) (represented by the left - side rectangle).

Step2: Analyze the right - hand side

The right - hand side of the equation is the constant \(14\) (represented by the right - side rectangle). So, each circle (which represents a part of the left - hand side) should be labeled \(y\), the left - side rectangle (the constant part of the left - hand side) should be labeled \(8\), and the right - side rectangle (the right - hand side of the equation) should be labeled \(14\).

Answer:

Left side circles: \(y\), \(y\), \(y\); Left side rectangle: \(8\); Right side rectangle: \(14\)