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6\left(-14\right)=y\left(-7\right)
Variable y cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 6y, the least common multiple of y,6.
-84=y\left(-7\right)
Multiply 6 and -14 to get -84.
y\left(-7\right)=-84
Swap sides so that all variable terms are on the left hand side.
y=\frac{-84}{-7}
Divide both sides by -7.
y=12
Divide -84 by -7 to get 12.