# Why is the solution to this equation -15y + 7y + 1 = 3 - 8y, "no solution"?

Nov 12, 2014

$- 15 y + 7 y + 1 = 3 - 8 y$

by simplifying the left-hand side,

$\implies - 8 y + 1 = 3 - 8 y$

by adding $8 y$

$\implies 1 = 3$,

which is never satisfied.

Since the equation cannot be satisfied regardless of the value of $y$, the equation has no solution.

I hope that this was helpful.