Question

Math

Posted about 2 months ago

```
Create an equivalent expression through combining like terms. After combining, evaluate the simplified expression by substituting the following values. $x=-5 \& Y=7$
$3(4 x-3 Y)+10 x-2 Y+Y$
```

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Answer from Sia

Posted about 2 months ago

Solution by Steps

step 1

Simplify the expression $3(4x - 3y) + 10x - 2y + y$

step 2

Distribute the $3$ in $3(4x - 3y)$: $3 \cdot 4x - 3 \cdot 3y = 12x - 9y$

step 3

Combine like terms: $12x - 9y + 10x - 2y + y$

step 4

Simplify further: $12x + 10x - 9y - 2y + y = 22x - 10y$

step 5

Substitute $x = -5$ and $y = 7$ into $22x - 10y$

step 6

Calculate: $22(-5) - 10(7) = -110 - 70 = -180$

Answer

-180

Key Concept

Simplifying and substituting algebraic expressions

Explanation

The problem involves simplifying an algebraic expression by combining like terms and then substituting specific values for the variables to evaluate the expression.

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