Question

2/3(y-5)-1/4(y-2)=9/2

Answer 1

step1: 2/3y-10/3-y/4+1/2=9/2. step2: (2/3-1/4)y-10/3=9/2-1/2. step3:. (2/3-1/4)y-10/3=8/2. step4:. ( 8-3)y/12-10/3=4. lcm is 12 for y term. step5:. 5y/12=4-10/3. step6:. 5y/12=2/3. lcm is 3 for RHS. step7:. 5y=2×12/3. step8:. y=24/15

Answer 2

2/3(y-5)-1/4(y-2)=9/2

2/3y-10/3-1/4y+1/2=9/2

2/3y-1/4y-10/3+1/2=9/2

5/12y-17/6=9/2

5/12y=9/2+17/6

5/12y=44/6

y=44×12/6×5

y=88/5