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49+y\times 7=14y
Variable y cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by y.
49+y\times 7-14y=0
Subtract 14y from both sides.
49-7y=0
Combine y\times 7 and -14y to get -7y.
-7y=-49
Subtract 49 from both sides. Anything subtracted from zero gives its negation.
y=\frac{-49}{-7}
Divide both sides by -7.
y=7
Divide -49 by -7 to get 7.