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Solve the equation for y: 6(y-2)+5=-13
Can any one explain how to do it. Explaining please not just the answer:)
I am sure your teacher has mentioned the acronym PEMDAS to you before.
P = Parentheses E = Exponents M = multiplication D = division A = addition S = subtraction
The first thing you have to do is simplify the equation by following these steps.
P -- inside the parentheses is just (y-2), which is as simple as it can get, so there's nothing more you can do E -- there are no exponents, so nothing to do there M -- multiplication. On the left side of the equation, you have the 6 outside the parentheses, which you have to multiply by the (y-2) inside. So you multiply 6y and then 6-2. This gets rid of the parentheses, and you get 6y-12. Then just copy on the rest of the equation, so the whole thing looks like 6y-12+5=-13. D -- no division A/S -- combine all similar terms by adding or subtracting them. On the left side of the equation you can add together -12 + 5 to get -7. The whole equation then looks like 6y - 7=-13. Now add 7 to both sides of the = sign, and you'll have 6y = -6.
Now instead of 6y, you just want to solve for a single y, so you divide both sides by 6. You'll be left with y=-1, which should be your answer.
To find out if you've done it all right, now you can check by putting your answer of y=-1 into the original problem and see if it alll works.
6(-1-2)+5 = -13 6(-3) + 5 = -13 -18 + 5 = - 13 -13 = -13 It works, so the answer was correct.
Good luck.
answerguy is correct here, kinage lost the "+5" somewhere while he was doing the equation, which messed it all up.
To remember the order:
Please Excuse My Dear Aunt Sally (Parenthesis Exponents Multiplication Division Addition Subtraction)
Parenthesis (y-2) is already simplified, they are unlike terms. ("Please")
Exponents: there are none ("Excuse")
So, next is multiplication:
6(y-2) + 5 = -13 6y - 12 + 5 = -13 (multiply the 6 by everyhing in the parenthesis, so 6 times *y and 6 times-2, which is -12), "My"
Then division ("Dear") (none)
Addition and Subtraction, in order: ("Aunt Sally"). Leave the 6 alone because it's attached to the *y, so an unlike term. 6y-12+5 = -7,
so 6y-7=-13 Add 7 to both sides:
6y= - 6,
y = -1
ok well you multiply 6 by everything in the bracket so itl be 6y-12+=-13 then you move the y's to one side and the numbers to the other so it will become 6y=12-13 the -12 changes to a + 12 when it moves over the = sign so your left with 6y= 1 and the answer is y=1 I think thats the right answer lol
