Answer:
The value of given expression is 3.8.
Explanation:
Given:
![1.8+0.5(y+6)-2^3](https://img.qammunity.org/2021/formulas/mathematics/middle-school/sr7shgfjx3726137vdibckkdhinca4ahox.png)
We need to find the simplified value of given expression using y =14
Solution:
Now we will substitute y =14 we get;
![1.8+0.5(y+6)-2^3\\\\1.8+0.5(14+6)-2^3](https://img.qammunity.org/2021/formulas/mathematics/middle-school/q0qf089acy1u6zkg13j5vhdckgh9442xc8.png)
Now using PEDMAS we will first solve the parenthesis we get;
![1.8+0.5*20-2^3](https://img.qammunity.org/2021/formulas/mathematics/middle-school/urnkp02ewkllhpo6q95m6t3eb1ekvz90sd.png)
Now we will solve the exponent function we get;
we know that;
![2^3=8](https://img.qammunity.org/2021/formulas/mathematics/college/99jc0kh99qe1k4v3z9qpwjtf6t1q8z730g.png)
So we can say that;
![1.8+0.5*20-8](https://img.qammunity.org/2021/formulas/mathematics/middle-school/kl85aubq4ue279usoqso1xun7dnysvyy40.png)
Now we will solve the multiplication operation.
![1.8+10-8](https://img.qammunity.org/2021/formulas/mathematics/middle-school/u6c613jc0l33oimt7icy3l18fmtcxu29f9.png)
Now we will perform addition operation.
![11.8-8](https://img.qammunity.org/2021/formulas/mathematics/middle-school/msvsr9w38bantxf06c22241hk97wvf8yr8.png)
And finally we will perform subtraction operation.
3.8
Hence The value of given expression is 3.8.