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'.

$y = - \frac{4}{3} (- 3)$

Answer

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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 $3$ . $y = \frac{- 4}{3} \times (3 \times - 1)$

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.