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5\times 6=7\left(y+3\right)
Variable y cannot be equal to -3 since division by zero is not defined. Multiply both sides of the equation by 5\left(y+3\right), the least common multiple of y+3,5.
30=7\left(y+3\right)
Multiply 5 and 6 to get 30.
30=7y+21
Use the distributive property to multiply 7 by y+3.
7y+21=30
Swap sides so that all variable terms are on the left hand side.
7y=30-21
Subtract 21 from both sides.
7y=9
Subtract 21 from 30 to get 9.
y=\frac{9}{7}
Divide both sides by 7.