Question

Consider the steps to solve the equation. 2/5 ( 1/2 y + 20 ) − 4/5 = 9/20 (2y − 1) Distribute: 1/5 y + 8 − 4/5 = 9/ 10 y − 9/20 What is the next step after using the distributive property? Use the multiplication property of equality to isolate the variable term on one side of the equation. Use the multiplication property of equality to isolate the constant on one side of the equation. Combine the like terms on the right side of the equation. Combine the like terms on the left side of the equation. member to subscribe to my channel michadsen

Answer 1

The initial expression is:

$\frac{2}{5}(\frac{1}{2}y+20)-\frac{4}{5}=\frac{9}{20}(2y-1)_{}$

First we use the distibution propertie so:

$\frac{1}{5}y+8-\frac{4}{5}=\frac{9}{10}y-\frac{9}{10}$

Now we pass all term with y to the right and all constats to the left so:

$\frac{8}{1}-\frac{4}{5}+\frac{9}{10}=\frac{9}{10}y-\frac{1}{5}y$

now we operate so:

$\begin{gathered} \frac{80}{10}-\frac{8}{10}+\frac{9}{10}=\frac{9}{10}y-\frac{2}{10}y \\ \frac{81}{10}=\frac{7}{10}y \end{gathered}$

now we multiply by 10 and divide by 7 so:

$\begin{gathered} \frac{10}{7}\cdot\frac{81}{10}=y \\ \frac{81}{7}=y \end{gathered}$