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$Simplify the expression. Write your answers using integers or improper fractions. 2(-5y+3y-4)+(2)/(3)y Answer:$

Simplify the expression. Write your answers using integers or improper fractions. $\newline$ $2(-5 y+3 y-4)+\frac{2}{3} y$ $\newline$ Answer:

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Powers with decimal and fractional bases

Full solution

Q. Simplify the expression. Write your answers using integers or improper fractions.

\newline

2(-5 y+3 y-4)+\frac{2}{3} y

\newline

Answer:

Simplify Terms: Simplify the expression inside the parentheses by combining like terms. $\newline$ $-5y + 3y = -2y$ $\newline$ So, the expression becomes $2(-2y - 4)$ .
Distribute $2$ : Distribute the $2$ across the terms inside the parentheses. $\newline$ $2 \times -2y = -4y$ $\newline$ $2 \times -4 = -8$ $\newline$ So, the expression now is $-4y - 8$ .
Add Fraction Term: Add the $(\frac{2}{3})y$ term to the expression. $\newline$ The expression is now $-4y - 8 + (\frac{2}{3})y$ .
Combine Y Terms: Combine the $y$ terms. $\newline$ To combine $-4y$ and $(2/3)y$ , we need a common denominator. The common denominator for $1$ (the implicit denominator of $-4y$ ) and $3$ is $3$ . $\newline$ So, we convert $-4y$ to $(-4 \times 3/3)y = -12/3y$ . $\newline$ Now we can combine the $y$ terms: $-4y$ $0$ . $\newline$ The expression is now $-4y$ $1$ .
Final Answer: The expression is already simplified, so we write the final answer. $\newline$ The final answer is $(-\frac{10}{3})y - 8$ .

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