y/3 - 7/2 = -y / 4 please answer
Answers
Answer:
Done by Aritra kar.
Answer:
y=6
Step-by-step explanation:
Hey there!
The first step to your question is to add 7/2 to both sides of the equation.
y/3 - 7/2 + 7/2 = -y/4 + 7/2
=> y/3 = -y/4 + 7/2
The next step is to multiply all of the terms by the same value.
=> 2⋅2⋅3⋅y/3 = 2⋅2⋅3(-y/4+7/2)
Multiply
=> 2⋅2y=2⋅2⋅3(-y/4+7/2)
=> 4y=2⋅2⋅3(-y/4+7/2)
=> 4y=12(-y/4+7/2)
Then, we are going to have to solve using the distributive property.
=> 4y=12⋅-y/4+42
After that, we are going to put the terms into a single fraction.
=> 4y=12(-y)/4+42
Then multiply
=> 4y=-12y/4+42
Then divide
=> 4y=-3y+42
Now we have our simplified equation! Now all we need to do is answer it.
We have to add 3 to both sides of the equation.
=> 4y+3y=-3y+3y+42
We can then combine like terms.
=>7y=42
The last and final step is to divide both sides by 7.
=> 7y÷7=1y which also equals y.
=> 42÷7=6.
Hence, y=6. I'm sorry for taking long, but I tried to answer as fast as I could. I hope this helps you.. Have a great day :)