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35x=11y+119
Multiply both sides of the equation by 7.
\frac{35x}{35}=\frac{11y+119}{35}
Divide both sides by 35.
x=\frac{11y+119}{35}
Dividing by 35 undoes the multiplication by 35.
x=\frac{11y}{35}+\frac{17}{5}
Divide 11y+119 by 35.
35x=11y+119
Multiply both sides of the equation by 7.
11y+119=35x
Swap sides so that all variable terms are on the left hand side.
11y=35x-119
Subtract 119 from both sides.
\frac{11y}{11}=\frac{35x-119}{11}
Divide both sides by 11.
y=\frac{35x-119}{11}
Dividing by 11 undoes the multiplication by 11.