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t=\frac{1}{4}y+1
Divide each term of y+4 by 4 to get \frac{1}{4}y+1.
\frac{1}{4}y+1=t
Swap sides so that all variable terms are on the left hand side.
\frac{1}{4}y=t-1
Subtract 1 from both sides.
\frac{\frac{1}{4}y}{\frac{1}{4}}=\frac{t-1}{\frac{1}{4}}
Multiply both sides by 4.
y=\frac{t-1}{\frac{1}{4}}
Dividing by \frac{1}{4} undoes the multiplication by \frac{1}{4}.
y=4t-4
Divide t-1 by \frac{1}{4} by multiplying t-1 by the reciprocal of \frac{1}{4}.
t=\frac{1}{4}y+1
Divide each term of y+4 by 4 to get \frac{1}{4}y+1.