Question

Solve $3(6 + 5y) = 2( - 5 + 4y)$

Answer 1

Hint:To solve this problem, use BODMAS rule. First solve the numbers present inside the bracket and then perform the basic operations like addition and subtraction. And after that bring the $y$ term to the left-hand side and constant term to the right-hand side. Find the value of $y$.

Complete step by step solution:
Let us consider the given question:
$3(6 + 5y) = 2( - 5 + 4y)$
Observe the question carefully and check whether it has any bracketed term or not. According to the BODMAS rule we should solve the bracket term first and then we need to proceed with the other basic mathematical manipulations. Solving the bracket term, we get,
$3(6 + 5y) = 2( - 5 + 4y)$
We have to multiply $3$ and $2$ inside the bracket we get.
$18 + 15y = - 10 + 8y$
Bringing the $y$ term to the left-hand side and constant term to the right-hand side we get,
$
15 - 8y = - 10 - 8y \\
7y = - 28 \\
y = - 4 \\
$
This is our required solution.

Note:Solve $2 + 3\left( {5x + \dfrac{6}{2}} \right) = 14\left( {x + \dfrac{{24}}{{12}}} \right)$, to solve this first we need to solve the numbers inside the bracket. And then multiply the number inside the bracket. Then simplify the problem in the order of BODMAS rule.