To solve the equation \( 6 \cdot (y - 1.4) = 3.5y + 1.6 \), follow these steps:
Distribute the left side: \[ 6y - 8.4 = 3.5y + 1.6 \]
Get all terms involving \( y \) on one side and constant terms on the other side. Subtract \( 3.5y \) from both sides: \[ 6y - 3.5y - 8.4 = 1.6 \] \[ 2.5y - 8.4 = 1.6 \]
Now, add \( 8.4 \) to both sides: \[ 2.5y = 1.6 + 8.4 \] \[ 2.5y = 10 \]
Finally, divide both sides by \( 2.5 \): \[ y = \frac{10}{2.5} = 4 \]
So, the solution is: \[ y = 4 \]
