Question

3(y+5)=8y
Solving linear equations

Answer 1

y =3

Explanation:

`3\left(y+5\right)=8y\\`

Expand

`\mathrm{Expand\:}3\left(y+5\right):\quad 3y+15\\\\=3y+15=8y`

Subtract 15 from both sides

`3y+15-15=8y-15`

Simplify

`3y=8y-15`

Subtract 8y from both sides

`3y-8y=8y-15-8y`

Simplify

`-5y=-15`

Divide both sides by -5

`(-5y)/(-5)=(-15)/(-5)`

Simplify

`y =3`

Answer 2

y = 3

Explanation:

To solve this equation, we will use conventional algebraic techniques as illustrated below.

3(y + 5) = 8y Distribute the 3.

3y + 15 = 8y Subtract 3y from both sides.

15 = 5y Rearrange the equation so the variable is on the left.

5y = 15 Divide by 5 on both sides.

y = 3