Final answer:
The solution to the linear equation is y = -0.862.
Step-by-step explanation:
To solve the linear equation 28y + 6 + 0.2y = 5y - 14, we need to combine like terms on both sides of the equation.
28y + 0.2y = 5y - 14 - 6
28.2y = 5y - 20
Next, we will isolate the variable 'y' by subtracting 5y from both sides of the equation.
28.2y - 5y = -20
23.2y = -20
To solve for 'y', we divide both sides of the equation by 23.2.
y = -20/23.2
Calculating this division, we find that y is approximately -0.862.
Therefore, the correct solution to the linear equation is: y = -0.862.