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-5=-2\times 9y
Multiply both sides of the equation by 10, the least common multiple of 2,5.
-5=-18y
Multiply -2 and 9 to get -18.
-18y=-5
Swap sides so that all variable terms are on the left hand side.
y=\frac{-5}{-18}
Divide both sides by -18.
y=\frac{5}{18}
Fraction \frac{-5}{-18} can be simplified to \frac{5}{18} by removing the negative sign from both the numerator and the denominator.