Solve negative 2 times y plus seven fifths times y equals negative 4 minus three fifths times y minus 2 for y.

y = 0
y = −13
No solution
Infinite solutions

1 answer

To solve the equation, we can begin by simplifying both sides:

-2y + (7/5)y = -4 - (3/5)y - 2

Next, we can combine like terms on each side:

(-2 + 7/5)y = -4 - 3/5y - 2

(-10/5 + 7/5)y = -4 - 3/5y - 2

(-3/5)y = -4 - 3/5y - 2

Next, we can eliminate the denominators by multiplying every term in the equation by 5:

(5)(-3/5)y = (5)(-4 - 3/5y - 2)

-3y = -20 - 3y - 10

Now, we can simplify the equation further:

-3y + 3y = -20 - 10

0 = -30

The equation yields a contradiction (0 = -30), which means that there is no solution that satisfies the equation. Therefore, the answer is "No solution".