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\frac{3}{2}+6x+2y+x=180
Combine 3x and 3x to get 6x.
\frac{3}{2}+7x+2y=180
Combine 6x and x to get 7x.
7x+2y=180-\frac{3}{2}
Subtract \frac{3}{2} from both sides.
7x+2y=\frac{357}{2}
Subtract \frac{3}{2} from 180 to get \frac{357}{2}.
7x=\frac{357}{2}-2y
Subtract 2y from both sides.
\frac{7x}{7}=\frac{\frac{357}{2}-2y}{7}
Divide both sides by 7.
x=\frac{\frac{357}{2}-2y}{7}
Dividing by 7 undoes the multiplication by 7.
x=-\frac{2y}{7}+\frac{51}{2}
Divide \frac{357}{2}-2y by 7.
\frac{3}{2}+6x+2y+x=180
Combine 3x and 3x to get 6x.
\frac{3}{2}+7x+2y=180
Combine 6x and x to get 7x.
7x+2y=180-\frac{3}{2}
Subtract \frac{3}{2} from both sides.
7x+2y=\frac{357}{2}
Subtract \frac{3}{2} from 180 to get \frac{357}{2}.
2y=\frac{357}{2}-7x
Subtract 7x from both sides.
\frac{2y}{2}=\frac{\frac{357}{2}-7x}{2}
Divide both sides by 2.
y=\frac{\frac{357}{2}-7x}{2}
Dividing by 2 undoes the multiplication by 2.
y=-\frac{7x}{2}+\frac{357}{4}
Divide \frac{357}{2}-7x by 2.