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2y=3\left(4500-y\right)+1800
Multiply both sides of the equation by 360, the least common multiple of 180,120.
2y=13500-3y+1800
Use the distributive property to multiply 3 by 4500-y.
2y=15300-3y
Add 13500 and 1800 to get 15300.
2y+3y=15300
Add 3y to both sides.
5y=15300
Combine 2y and 3y to get 5y.
y=\frac{15300}{5}
Divide both sides by 5.
y=3060
Divide 15300 by 5 to get 3060.