Question

2(y+7) = 3(y-10)
solve the equation

Answer 1

2(y + 7) = 3(y - 10)

2y + 14 = 3y - 30

y = 44

Answer 2

Answer: y = 44

Explanation:

In order to solve this equation, I'm going to isolate y.

`\bullet\quad\sf{2(y+7)=3(y-10)}`

Use the distributive property on both sides:

`\bullet\quad\sf{2y+14=3y-30}`

Solve.

`\bullet\quad\sf{3y-30=2y+14}`

`\bullet\quad\sf{3y-2y=14+30}`

Simplify.

`\bullet\quad\sf{y=44}`

Therefore, y = 44.