Question

14=-3y+5(y+2) Simplify your answer as much as possib

Answer 1

The solution to the equation 14 = -3y + 5(y + 2) is y = 2.

Step-by-step explanation:

To solve the equation, start by distributing 5 across the parentheses:

14 = -3y + 5y + 10

Combine like terms:

14 = 2y + 10

Now, isolate the variable y by subtracting 10 from both sides:

2y = 14 - 10 = 4

Finally, solve for y by dividing both sides by 2:

y = 4 / 2 = 2

However, it seems there might be a calculation mistake in the explanation. Let's revisit the steps:

Start by distributing 5 across the parentheses:

14 = -3y + 5y + 10

Combine like terms:

14 = 2y + 10

Subtract 10 from both sides:

14 - 10 = 2y

4 = 2y

Now, isolate the variable y by dividing both sides by 2:

y = 4 / 2 = 2

Apologies for the oversight in the previous calculation. The correct solution is y = 2.