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To solve the system of equations by substitution, we'll solve one equation for one variable and substitute it into the other equation.
Let's solve the second equation for x:
x = -7 - 3y
Now, substitute this value of x into the first equation:
6y + 5(-7 - 3y) = 8
Solving this equation will give us the value of y, and then we can substitute it back into one of the original equations to find the value of x.