Solve for y
y=-18
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2\left(y-3\right)=3\left(y+4\right)
Variable y cannot be equal to -4 since division by zero is not defined. Multiply both sides of the equation by 2\left(y+4\right), the least common multiple of y+4,2.
2y-6=3\left(y+4\right)
Use the distributive property to multiply 2 by y-3.
2y-6=3y+12
Use the distributive property to multiply 3 by y+4.
2y-6-3y=12
Subtract 3y from both sides.
-y-6=12
Combine 2y and -3y to get -y.
-y=12+6
Add 6 to both sides.
-y=18
Add 12 and 6 to get 18.
y=-18
Multiply both sides by -1.
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