Question

Solve $\dfrac{{7y}}{5} = y - 4$

Answer 1

Hint: The addition is the sum of given two or more than two numbers, or variables and in addition, if we sum the two or more numbers then we obtain a new frame of the number will be found, also in subtraction which is the minus of given two or more than two numbers, but here comes with the condition that in subtraction the greater number sign represented in the number will stay constant example $2 - 3 = - 1$

Complete step by step answer:
Since given that to solve the equation $\dfrac{{7y}}{5} = y - 4$ and to find the unknown variable of $y$
Let us start the solution with the cross multiplication of the number $5$ then we have $7y = 5(y - 4)$
Now we are going to use the multiplication operation, we get $7y = 5y - 20$
Now Turing the variables on the left-hand side and also the numbers on the right side, then we have $7y - 5y = - 20$
By the use of the subtraction operation, we get $2y = - 20$ where $7y - 5y = y(7 - 5) = y(2) = 2y$ which is also applicable for the subtraction of the variables.
Thus, using the division operation, we get $y = \dfrac{{ - 20}}{2} \Rightarrow - 10$
Hence the unknown variable is founded as $y = - 10$

Note:
The other two operations are multiplication and division operations.
Since multiplicand refers to the number multiplied. Also, a multiplier refers to multiplying the first number. Have a look at an example; while multiplying $5 \times 7$the number $5$ is called the multiplicand and the number $7$ is called the multiplier. Like $2 \times 3 = 6$ or which can be also expressed in the form of $2 + 2 + 2(3times)$
The process of the inverse of the multiplication method is called division. Like $x \times y = z$is multiplication thus the division sees as $x = \dfrac{z}{y}$. Like $y = \dfrac{{ - 20}}{2} \Rightarrow - 10$
Hence using the simple operations, we solved the given problem.