Answer
$y = \frac{9}{10}$
Work Step by Step
Subtract $3y$ from each side of the equation to isolate the variable to one side of the equation:
$4y - 3y - \frac{1}{10} = 3y-3y+\frac{4}{5}$
Perform the subtraction:
$y - \frac{1}{10} = \frac{4}{5}$
Add $\frac{1}{10}$ to each side to move constants to one side of the equation:
$y = \frac{4}{5} + \frac{1}{10}$
To add fractions, we need to find the least common denominator (LCD) of both fractions.
In this case, the LCD is $10$.
We need to find equivalent fractions for both with denominators of 10:
$y = \frac{8}{10} + \frac{1}{10}$
We can now add the fractions because they now have the same denominator:
$y = \frac{9}{10}$
