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6x+4x-48y=3x
Multiply both sides of the equation by 12, the least common multiple of 2,3,4.
10x-48y=3x
Combine 6x and 4x to get 10x.
10x-48y-3x=0
Subtract 3x from both sides.
7x-48y=0
Combine 10x and -3x to get 7x.
7x=48y
Add 48y to both sides. Anything plus zero gives itself.
\frac{7x}{7}=\frac{48y}{7}
Divide both sides by 7.
x=\frac{48y}{7}
Dividing by 7 undoes the multiplication by 7.
6x+4x-48y=3x
Multiply both sides of the equation by 12, the least common multiple of 2,3,4.
10x-48y=3x
Combine 6x and 4x to get 10x.
-48y=3x-10x
Subtract 10x from both sides.
-48y=-7x
Combine 3x and -10x to get -7x.
\frac{-48y}{-48}=-\frac{7x}{-48}
Divide both sides by -48.
y=-\frac{7x}{-48}
Dividing by -48 undoes the multiplication by -48.
y=\frac{7x}{48}
Divide -7x by -48.