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6y+x=42
Multiply both sides of the equation by 3.
x=42-6y
Subtract 6y from both sides.
6y+x=42
Multiply both sides of the equation by 3.
6y=42-x
Subtract x from both sides.
\frac{6y}{6}=\frac{42-x}{6}
Divide both sides by 6.
y=\frac{42-x}{6}
Dividing by 6 undoes the multiplication by 6.
y=-\frac{x}{6}+7
Divide 42-x by 6.