Answer
$y = 10$
Work Step by Step
The least common denominator, or LCD, is $10$, in this case. Convert each fraction to an equivalent one that incorporates the LCD:
$\dfrac{2y}{10} + \dfrac{5y}{10} = \dfrac{70}{10}$
Add the fractions:
$\dfrac{7y}{10} = \dfrac{70}{10}$
Multiply each side of the equation by $10$ to eliminate the fractions:
$7y = 70$
Divide each side of the equation by $7$:
$y = 10$
To check the solution, plug in $10$ for $y$ into the original equation:
$\dfrac{10}{5} + \dfrac{10}{2} = 7$
Simplify the fractions:
$2 + 5 = 7$
Combine like terms:
$7 = 7$
Both sides are equal to one another; therefore, this solution is correct.
