Respuesta :
Answer
[tex] \boxed {y= -8.5} [/tex]
Solution & detailed explanation
In this problem we are solving for y.
First, add 0.3 on both sides.
5.1 + 0.3= 5.4
Now you would need to subtract, 21.3 on both sides.
[tex] 5.4y + 21.3= -24.6 [/tex]
-24.6 - 21.3= -45.9
Divide 5.4 on both sides.
[tex] 5.4y = -45.9 [/tex]
Therefore, the answer would be [tex] \boxed {y= -8.5} [/tex]

The value of 'y' from the given expression is -8.5 and this can be determined by using the arithmetic operations.
Given :
Equation --- 5.1y + 21.3 = -0.3y - 24.6
The following steps can be used in order to determine the value of the 'y' from the given equation:
Step 1 - The arithmetic operations can be used in order to determine the value of the 'y' from the given equation.
Step 2 - Write the given equation.
5.1y + 21.3 = -0.3y - 24.6
Step 3 - Add 0.3y on both sides in the above equation.
5.1y + 21.3 + 0.3y = -0.3y - 24.6 + 0.3y
5.4y + 21.3 = - 24.6
Step 4 - Subtract 21.3 on both sides in the above expression.
5.4y + 21.3 - 21.3 = - 24.6 - 21.3
5.4y = - 45.9
Step 5 - Divide by 5.4 on both sides in the above equation.
y = -8.5
So, the value of 'y' is -8.5.
For more information, refer to the link given below:
https://brainly.com/question/22687297