How do you solve $3( y - 5) - 7= - 7( - 4y + 4) - 9y$ ?

Question

1961 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-10-09T19:24:45

$y=3/8$

Start on one side of the equation and combine any like terms. But first to do so, you have to distribute.

Starting on the left side of the equation, distribute $3$ throughout the set of parenthesis

$3y-15-7$

Now, you can combine $-15-7$

$-15-7=-22$

So, the left side now looks like: $3y-22=$

Next, move to the right side of the equation and distribute $-7$ throughout the set of parenthesis

$28y-28-9y$

Combine like terms

$19y-28$

The full equation now looks like this:
$3y-22=19y-28$

To finish off, isolate $y$ by adding $22$ on both sides of the equation

$3y=19y-6$

Subtract $19y$ from both sides of the equation

$-16y=-6$

Divide by $16$ to isolate y
$y=3/8$

How do you solve 3( y - 5) - 7= - 7( - 4y + 4) - 9y3( y - 5) - 7= - 7( - 4y + 4) - 9y?