Solve for y y=-4/3(-3)
The given problem is an algebraic equation where you are asked to solve for the variable 'y'. The equation is written as y = -4/3 times -3, where -4/3 is a fraction acting as a multiplier to the number -3. The objective is to perform the multiplication to find the value of 'y'.
$y = - \frac{4}{3} \left(\right. - 3 \left.\right)$
Answer
Solution:
Step 1:
Eliminate the parentheses in the expression. $y = -\frac{4}{3} \times -3$
Step 2:
Simplify the product $-\frac{4}{3} \times -3$.
Step 2.1:
Identify and remove the common factor of $3$.
Step 2.1.1:
Transfer the negative sign from the denominator to the numerator. $y = \frac{-4}{3} \times -3$
Step 2.1.2:
Express $-3$ as a product involving $3$. $y = \frac{-4}{3} \times (3 \times -1)$
Step 2.1.3:
Eliminate the common factor of $3$. $y = \frac{-4}{\cancel{3}} \times (\cancel{3} \times -1)$
Step 2.1.4:
Reformulate the mathematical expression. $y = -4 \times -1$
Step 2.2:
Compute the product of $-4$ and $-1$. $y = 4$
Knowledge Notes:
To solve the given problem, we follow a systematic approach to simplify the algebraic expression and find the value of $y$. Here are the relevant knowledge points:
Removing Parentheses: When an expression is enclosed in parentheses and preceded by a negative sign, we distribute the negative sign to the terms inside.
Multiplying Fractions: To multiply fractions, we multiply the numerators together and the denominators together. If there is a whole number, it can be written as a fraction with a denominator of 1.
Simplifying Negative Signs: A negative sign in the denominator can be moved to the numerator or to the front of the fraction for easier manipulation.
Canceling Common Factors: When the same number appears in both the numerator and the denominator, they can cancel each other out because any number divided by itself equals 1.
Multiplying Negative Numbers: The product of two negative numbers is positive. This is because a negative number is the additive inverse of a number, and multiplying two inverses results in a positive.
Final Multiplication: After simplification, the final step is to multiply the remaining numbers to get the value of $y$.
In the given solution, we applied these principles to simplify the expression and solve for $y$. The process involved distributing the negative sign, canceling common factors, and multiplying the remaining terms to find the result.
