Answer:

☪ What is the value of y for the equation given below when x = 2 ?
☪ Step - by - step explanation :
plug the value of x ( i.e 2 )
➳ 
Remember : Multiplying or dividing a negative integer by a positive integer gives a negative integer.
➳ 
Move 6 to right hand side and change it's sign
➳ 
Add the numbers : 10 and 6
➳ 
Divide both sides by 2
➳ 
➳ 
——————————————————
✏ Now, let's check whether the value of y is 8 or not !
✑ Verification :

→ 
→ 
→ 
L.H.S = R.H.S ( Hence , the value of y is 8 . )
——————————————————
☞ Additional Info :
✒ Sign rules of addition and subtraction of integers:
- The positive integers are always added and posses the positive ( + ) sign.
- The negative integers are always added but posses the negative ( - ) sign.
- The negative and positive integers are always subtracted but posses the sign of the bigger integer.
✒ Sign rules of multiplication and division of integers :
- Multiplying or dividing positive integers gives a positive integer.
- Multiplying or dividing positive integer by any negative integer gives a negative integer.
- Multiplying or dividing a negative integer by a positive integer gives a negative integer.
- Multiplying or dividing a negative integer by a negative integer gives a positive integer.
✒ Rules for solving an equation :
- If any equation contains fractions , multiply each term by the LCM of denominators.
- Remove the brackets , if any.
- Collect the term with the variable to the left hand side and constant terms to the right side by changing their signs ' + ' into ' - ' and ' - ' into ' + '.
- Simplify and get the single term on each side.
- Divide each side by the coefficient of variable and then get the value of variable.
Hope I helped!
Have a wonderful time ツ
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁