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7=y+8
Variable y cannot be equal to -8 since division by zero is not defined. Multiply both sides of the equation by 7\left(y+8\right), the least common multiple of y+8,7.
y+8=7
Swap sides so that all variable terms are on the left hand side.
y=7-8
Subtract 8 from both sides.
y=-1
Subtract 8 from 7 to get -1.