Answer:
0.67
Explanation:
![5(y - 3.8) = 4.7(y - 4)](https://img.qammunity.org/2021/formulas/mathematics/high-school/k727su4xisqwf93e59jxdve89sftkqq2oc.png)
Distribute 5 through the parentheses
![5y - 19 = 4.7(y - 4)](https://img.qammunity.org/2021/formulas/mathematics/high-school/66wpy1o7acfi29qi3lgglp43j6z1wiu2pz.png)
Distribute 4.7 through the parentheses
![5y - 19 = 4.7y - 18.8](https://img.qammunity.org/2021/formulas/mathematics/high-school/t6seggoo0ohi2pxp61rnyelwr81m9uug5i.png)
Move ' 4.7 y ' to L.H.S and change it's sign
![5y - 4.7y - 19 = - 18.8](https://img.qammunity.org/2021/formulas/mathematics/high-school/d6e9cytrxrssqzko1dqo8u41lxvr3qu0ld.png)
Move constant to R.H.S and change it's sign
![5y - 4.7y = - 18.8 + 19](https://img.qammunity.org/2021/formulas/mathematics/high-school/e4i51he2sabjctgauool9poin03bs4a0uk.png)
Collect like terms
![0.3y = - 18.8 + 19](https://img.qammunity.org/2021/formulas/mathematics/high-school/4x1bizm6rqtz7v356hndt2f0tycwd3f4xx.png)
Calculate
![0.3y = 0.2](https://img.qammunity.org/2021/formulas/mathematics/high-school/uqn4p6q3bwb34j1849d2ki94d0zl3f9fkb.png)
Divide both sides of the equation by 0.3
![(0.3y)/(0.3) = (0.2)/(0.3)](https://img.qammunity.org/2021/formulas/mathematics/high-school/9en2z0hj5cw80nn76ojqxe669zv2xysam3.png)
Calculate
![y = 0.67](https://img.qammunity.org/2021/formulas/mathematics/high-school/62e8qqbiliaw4ejuvgn2x6bxo88j5xauk7.png)
Hope this helps...
Best regards!!