How do you simplify $(4 y - 9) - (3 y + 10)$ $(4y-9)-(3y+10)$ ?

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Answer 1 · 2016-04-16T15:43:02

$y - 19$ $y - 19$

A place where students commonly make mistakes with is the terms after the subtraction sign, in this case $3 y + 10$ $3y + 10$ .

Pretend that there is a negative 1 in front of $(3 y + 10)$ $(3y + 10)$ . So you would have: $- 1 (3 y + 10)$ $-1(3y + 10)$

Distribute that negative one to the terms in the parenthesis, to get $- 1 (3 y) + - 1 (10) = - 3 y - 10$ $-1(3y) + -1(10) = -3y - 10$

Combine that with the remaining expression and then simplify.
$4 y - 9 - 3 y - 10$ $4y - 9 - 3y - 10$

Combine like terms:
$(4 y - 3 y) = y$ $(4y - 3y) = y$
$(- 9 - 10) = - 19$ $(-9 - 10) = -19$

Put those together to get the answer of:
$y - 19$ $y - 19$

How do you simplify (4y-9)-(3y+10)(4y−9)−(3y+10)(4y-9)-(3y+10)?