Find the y value that makes the difference between 7 (y + 3) and 5 (2-y) equal to 35.

In order to find the value of the variable y at which the difference between the given expressions is 35, we compose and solve a linear equation:

7 (y + 3) – 5 (2 – y) = 35;

Let’s open the brackets on the left side of the equation. To open parentheses, we will use the distributional law of multiplication with respect to addition and subtraction and the rule for opening parentheses before which there is a minus.

7y + 21 – 10 + 5y = 35;

7y + 5y = 35 – 21 + 10;

y (7 + 5) = 24;

12y = 24;

We are looking for a variable as an unknown factor:

y = 24: 12;

y = 2.

Answer: for y = 2.