14-[-3(y-4)+9]=[4(2y+3)-6]+4
2007-08-20 16:56:38 · 5 answers · asked by ? 2 in Science & Mathematics ➔ Mathematics
14 - [ - 3y + 12 + 9 ] = 8y + 12 - 6 + 4
14 + 3y - 21 = 8y + 10
- 7 + 3y = 8y + 10
5y = - 17
y = - 17 / 5
Unlike many,by using brackets, you presented the questiion in a clear manner.
2007-08-20 21:51:48 · answer #1 · answered by Como 7 · 1⤊ 0⤋
The key to doing this problem is to remember your order of operations: PEMDAS
Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction.
14 - [3(y - 4) + 9] = [4(2y + 3) - 6 + 4
14 - (-3y + 12 + 9) = (8y + 12 - 6) + 4
14 +3y + 21 = 8y + 6 + 4
3y + 35 = 8y + 10
25 = 5 y
y = 5
Good luck!
2007-08-21 00:09:57 · answer #2 · answered by Dr. Stu 2 · 0⤊ 0⤋
Let me take it step by step:
14-[-3(y-4)+9]=[4(2y+3)-6]+4
First we want to distribute within the brackets:
14-[-3y+12+9]=[8y+12-6]+4
Now we combine like terms:
14-[-3y+21]=[8y+6]+4
Then we distribute the negative on the left side:
14+[3y-21]=[8y+6]+4
And now we combine like terms:
3y-7=8y+10
Next we isolate the y:
-17 = 5y
Now we solve for y:
-17/5 = y
2007-08-21 00:09:24 · answer #3 · answered by AibohphobiA 4 · 0⤊ 0⤋
14-[-3(y-4)+9]=[4(2y+3)-6]+4
14-[-3y+12+9]=[8y+12-6]+4
14-[-3y+21]=[8y+6]+4
14+3y-21=8y+6+4
3y-7=8y+10
-7-10=8y-3y
-17=5y
y=-17/5
2007-08-21 00:11:34 · answer #4 · answered by juniper 2 · 0⤊ 0⤋
-3.4 or -17/5
2007-08-21 00:03:25 · answer #5 · answered by Susan B 2 · 0⤊ 0⤋