Solve for x
x=24-6y
Solve for y
y=-\frac{x}{6}+4
Graph
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6y+3\left(x+2\right)-2x=30
Multiply both sides of the equation by 6, the least common multiple of 2,3.
6y+3x+6-2x=30
Use the distributive property to multiply 3 by x+2.
6y+x+6=30
Combine 3x and -2x to get x.
x+6=30-6y
Subtract 6y from both sides.
x=30-6y-6
Subtract 6 from both sides.
x=24-6y
Subtract 6 from 30 to get 24.
6y+3\left(x+2\right)-2x=30
Multiply both sides of the equation by 6, the least common multiple of 2,3.
6y+3x+6-2x=30
Use the distributive property to multiply 3 by x+2.
6y+x+6=30
Combine 3x and -2x to get x.
6y+6=30-x
Subtract x from both sides.
6y=30-x-6
Subtract 6 from both sides.
6y=24-x
Subtract 6 from 30 to get 24.
\frac{6y}{6}=\frac{24-x}{6}
Divide both sides by 6.
y=\frac{24-x}{6}
Dividing by 6 undoes the multiplication by 6.
y=-\frac{x}{6}+4
Divide 24-x by 6.
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