Question

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Answer 1

B. 7y - 15

Explanation:

Simplifying

10y + -3(y + 5) = 0

Reorder the terms:

10y + -3(5 + y) = 0

10y + (5 * -3 + y * -3) = 0

10y + (-15 + -3y) = 0

Reorder the terms:

-15 + 10y + -3y = 0

Combine like terms: 10y + -3y = 7y

-15 + 7y = 0

Solving

-15 + 7y = 0

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '15' to each side of the equation.

-15 + 15 + 7y = 0 + 15

Combine like terms: -15 + 15 = 0

0 + 7y = 0 + 15

7y = 0 + 15

Combine like terms: 0 + 15 = 15

7y = 15

Divide each side by '7'.

y = 2.142857143

Simplifying

y = 2.142857143

Answer 2

b. 7y-15

Explanation:

First, write out the expression

1.
`10y-3(y+5)`

To simplify the expression distribute the -3 to the terms within the paratheses.

2.
`10y-3y-15`

Then, combine like terms to simplify further. Since 10y and -3y are like terms they can be subtracted

3.
`7y-15`

This means that B is the correct answer.