Question

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

Answer 1

Answer:

y =3

Step-by-step 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

$\frac{-5y}{-5}=\frac{-15}{-5}$

Simplify

$y =3$

Answer 2

Answer:

y = 3

Step-by-step 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