Math  /  Algebra

Question20=y+1220=y+12

Studdy Solution

STEP 1

What is this asking? We need to find the value of yy that makes the equation 20=y+1220 = y + 12 true! Watch out! Don't get tricked by the order!
We need to isolate yy to find its value.

STEP 2

1. Isolate yy
2. Calculate yy

STEP 3

We want to get yy by itself on one side of the equation so we can see what it equals.

STEP 4

To isolate yy, we need to get rid of the +12+12 that's hanging out with it.
We can do this by adding the *additive inverse* of +12+12 to both sides of the equation.
The *additive inverse* of +12+12 is 12-12.
Remember, adding 12-12 is the same as subtracting 1212.

STEP 5

20=y+12 20 = y + 12 20+(12)=y+12+(12) 20 + (-12) = y + 12 + (-12) 2012=y+0 20 - 12 = y + 0

STEP 6

Now, we just need to simplify the left side of the equation: 2012=y 20 - 12 = y 8=y 8 = y

STEP 7

So, we have 8=y8 = y.
Let's rewrite it as y=8y = 8 because it looks nicer that way!

STEP 8

We found that y=8y = \mathbf{8}!

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