Answer: y = 0.2
Explanation:
The expression we have is:
![5y+16=-13y+19](https://img.qammunity.org/2023/formulas/mathematics/college/ixwacrio69ueskq2aguev5qcr2xaajqpwk.png)
to solve this equation for the variable y the first thing we need to do is move all of the terms that contain y to one side of the equation.
Step 1: Move al terms with y to the left (the -13y that is on the right side passes as a +13y to the left side)
![5y+13y+16=19](https://img.qammunity.org/2023/formulas/mathematics/college/8sf5kedodgpc0ac0gdw86vnq3p5b5tsaw0.png)
Step 2: move all independent terms to the other side (the +16 on the left passes as a -16 on the right)
![5y+13y=19-16](https://img.qammunity.org/2023/formulas/mathematics/college/tecap0f59hzc0n7j6mulvctny5hqc1bezc.png)
Step 3: Combine all the like terms
![18y=3](https://img.qammunity.org/2023/formulas/mathematics/college/h7bdid65drr7xy3qcnunz99euz8ie8pdyy.png)
Step 4: Divide everything by 18
![(18y)/(18)=(3)/(18)](https://img.qammunity.org/2023/formulas/mathematics/college/gp41zhkn1d51bhf67t0b7qynpjky6isijd.png)
step 5: make the divisions (on the left side we are just left with y)
![y=0.1666](https://img.qammunity.org/2023/formulas/mathematics/college/mh8ydjunlczh2agd0jut9cmom5shcrwvf3.png)
Step 6: Round to the nearest tenth.
To round a number to the nearest tenth we must be left with only one digit after the decimal point.
If the second number after the decimal point (in this case is 6) is grater than 5, we roud up:
![y=0.2](https://img.qammunity.org/2023/formulas/mathematics/college/y5ckmaouf2b8gbna6hv6fdujdl5n55wuem.png)