To solve for \( y \) in the equation
\[ -0.26y + 6 + 3.6 = (16 + 3.6) - 0.46y, \]
let's start by simplifying both sides.
- Combine the constants on the left-hand side:
\[ -0.26y + 9.6 = (16 + 3.6) - 0.46y. \]
Calculate \( 16 + 3.6 \):
\[ 16 + 3.6 = 19.6, \]
so the equation becomes:
\[ -0.26y + 9.6 = 19.6 - 0.46y. \]
- Now we can rearrange the equation to isolate variables on one side and constants on the other. Let's add \( 0.46y \) to both sides:
\[ -0.26y + 0.46y + 9.6 = 19.6, \]
which simplifies to:
\[ 0.20y + 9.6 = 19.6. \]
- Next, subtract 9.6 from both sides:
\[ 0.20y = 19.6 - 9.6, \]
which gives:
\[ 0.20y = 10. \]
- Finally, divide both sides by 0.20 to solve for \( y \):
\[ y = \frac{10}{0.20} = 50. \]
Thus, the solution is:
\[ y = 50. \]
