Question

Simplify 4-2y + (-8y) + 6.2

Answer 1

`\sf \: -10y + 10.2`

Explanation:

Now we have to,

→ Simplify the given expression.

The expression is,

→ 4 - 2y + (-8y) + 6.2

Let's simplify the expression,

→ 4 - 2y + (-8y) + 6.2

→ 4 - 2y - 8y + 6.2

→ -2y - 8y + 6.2 + 4

→ (-2y - 8y) + (6.2 + 4)

→ (-10y) + (10.2)

→ -10y + 10.2

Hence, answer is -10y + 10.2.

Answer 2

`\large\boxed{\tt -10y + 10.2 }`

Explanation:

`\textsf{We are asked to simplify the given expression.}`

`\textsf{Note that we can't simplify this expression down to 1 term.}`

`\large\underline{\textsf{Why?}}`

`\textsf{This is due to 2 numbers having the variable y, and 2 other numbers without y.}`

`\textsf{Consider these terms Unlike Terms, as they have a difference in which we can't}}`

`\textsf{combine them.}`

`\textsf{Even though there are some Unlike Terms, there is a few Like Terms.}`

`\textsf{Let's identify the Like Terms, and the Unlike Terms in our expression.}`

`\large\underline{\textsf{Like Terms;}}`

`\tt 4 \ and \ 6.2 \ are \ like \ terms. \ (Both \ don't \ have \ any \ variables)`

`\tt -2y \ and \ -8y \ are \ like \ terms. \ (Both \ have \ the \ same \ variable)`

`\large\underline{\textsf{Unlike Terms;}}`

`\tt 4 \ and \ -2y \ are \ Unlike \ Terms.`

`\tt 6.2 \ and \ -8y \ are \ Unlike \ Terms.`

`\tt 4 \ and \ -8y \ are \ Unlike \ Terms.`

`\tt 6.2 \ and \ -2y \ are \ Unlike \ Terms.`

`\textsf{We know what the Unlike Terms, and Like Terms are for our expression.}`

`\large\underline{\textsf{Solving;}}`

`\textsf{Solve by combining Like Terms in the expression.}`

`\large\underline{\textsf{Combine Like Terms;}}`

`\tt 4-2y + (-8y) + 6.2`

`\textsf{When we add a negative term, we are actually subtracting with that term.}`

`\tt 4-2y -8y + 6.2`

`\underline{\textsf{Our final answer should be;}}`

`\large\boxed{\tt -10y + 10.2 }`