Question

Solve for y:1(y+3)=2(y+−4)+−7

Answer 1

18

Explanation:

● 1 (y+3) = 2 (y+(-4) )+ (-7)

When you multiply by 1 you get the same result.

● y+3 = 2 (y+(-4))+(-7)

When you have a + sign with a - sign write -.

● y+3 = 2(y-4)-7

Multiply 2 by (y-4) and simplify

● y+3 = (2y-8)-7

● y+3 = 2y -8-7

● y+3 = 2y -15

Add 15 to both sides

● y +3+15 = 2y-15 +15

● y + 18 = 2y

Sibstract y from both sides

● y +18 - y = 2y -y

● 18 = y

Answer 2

`\large \boxed{{y=18}}`

Explanation:

`1(y+3)=2(y+-4)+- 7`

Expand brackets.

`y+3=2y-8+- 7`

Simplify.

`y+3=2y-15`

Add -y and 15 on both sides.

`y+3-y+15=2y-15-y+15`

Simplify.

`3+15=2y-y`

`18=y`