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8\times 2y-15=18-12y
Multiply both sides of the equation by 24, the least common multiple of 3,8,4,2.
16y-15=18-12y
Multiply 8 and 2 to get 16.
16y-15+12y=18
Add 12y to both sides.
28y-15=18
Combine 16y and 12y to get 28y.
28y=18+15
Add 15 to both sides.
28y=33
Add 18 and 15 to get 33.
y=\frac{33}{28}
Divide both sides by 28.