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7x=y+1
Multiply both sides of the equation by 28, the least common multiple of 4,28.
\frac{7x}{7}=\frac{y+1}{7}
Divide both sides by 7.
x=\frac{y+1}{7}
Dividing by 7 undoes the multiplication by 7.
7x=y+1
Multiply both sides of the equation by 28, the least common multiple of 4,28.
y+1=7x
Swap sides so that all variable terms are on the left hand side.
y=7x-1
Subtract 1 from both sides.