Solve using distributive property
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15-3y=y+13+y
15-3y=y+13+y
=13+2y
15-3y=13+2y
+3y +3y
15=13+5y
-13 -13
12=5y
y=2.4
To solve the equation using the distributive property, we need to apply the distributive property to each term. The distributive property states that for any three numbers, a, b, and c, we have:
a * (b + c) = a * b + a * c
Now let's solve the given equation step by step:
15 - 3y = y + 13 + y
First, distribute the -3 to both terms inside the parentheses:
15 - 3y = y + 13 + y
15 - 3y = 2y + 13
Next, simplify the equation by rearranging the terms:
15 - 3y = 2y + 13
Combine like terms:
15 - 3y = 2y + 13
Now, let's collect all the variable terms on one side of the equation by adding 3y to both sides:
15 - 3y + 3y = 2y + 13 + 3y
15 = 5y + 13
Next, isolate the variable term by subtracting 13 from both sides:
15 - 13 = 5y + 13 - 13
2 = 5y
Finally, divide both sides by 5 to solve for y:
2/5 = 5y/5
2/5 = y
So, the solution to the equation is y = 2/5.