Question

Solve the equation and state a reason for each step 5(3y+2)=25

Answer 1

Answer:

y=1

Step-by-step explanation:

5(3y+2)=25

15y+10=25

-10

15y=15

y= 1

5(3(1)+2)=25

5(3+2)=25

15+10=25

25=25

Answer 2

Answer: y = 1

Explanation: To solve for y in this equation, our first step is to simplify the left side by distributing the 5 through both terms inside the parentheses.

When we do that we get 5 times 3y which is 15y and

5 times 2 which is 10.

So we have 15y + 10 = 25.

Our next step is to isolate the y term by subtracting 10 from both sides of the equation. On the left, 10 - 10 cancels and we're left with 15y. On the right side of the equation we have 25 - 10 which simplifies to 15.

So we have 15y = 15.

Now to get y by itself since it's being multiplied by 15, we just divide both sides of the equation by 15. On the left, the 15's cancel and we're left with y. On the right, $\frac{15}{15}$ simplifies to 1 so our answer is y = 1.