Question

How do you solve $2y + 35 = - 7$?

Answer 1

Hint: Here we just need to take $y$ to one side by changing the signs when we take one term to the other side so we can take $35$ to the other side and its sign will change from plus to minus and we will get $2y = - 7 - 35$ and then we can proceed further by dividing both sides by the coefficient of $y$.

Complete step by step solution:
Here we are given that we need to solve $2y + 35 = - 7$
So we must know that when we take any term from LHS to RHS or vice versa then we just need to change their sign. The addition term becomes the subtraction term and the multiplied term gets divided when we take it to the other side.
Here we are given $2y + 35 = - 7$
Now our aim is to find the value of $y$ which is unknown and therefore we need to take all the terms with it to the other side of the equal to. When we take $35$ from LHS to RHS its sign will change to subtraction and we will get the equation as:
$2y + 35 = - 7$
$2y = - 7 - 35$
Solving it we get:
$2y = - 42$
Now here we have two with the unknown variable we need to find. So we can divide both the sides by the coefficient of $y$ which is $2$
Hence dividing both sides by $2$ we get:
$2y = - 42$
$\dfrac{{2y}}{2} = \dfrac{{ - 42}}{2}$
$y = - 21$

Hence we get the value of $y = - 21$

Note:
Here in these types of problems, the student must know how we need to shift the number from one side to another. For example: If we have $2x - 5 = 6$ then we will get this as $2x = 6 + 5$.