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4\left(y+3\right)-3\left(y-17\right)=36
Multiply both sides of the equation by 12, the least common multiple of 3,4.
4y+12-3\left(y-17\right)=36
Use the distributive property to multiply 4 by y+3.
4y+12-3y+51=36
Use the distributive property to multiply -3 by y-17.
y+12+51=36
Combine 4y and -3y to get y.
y+63=36
Add 12 and 51 to get 63.
y=36-63
Subtract 63 from both sides.
y=-27
Subtract 63 from 36 to get -27.