The incorrect work of a student to solve an equation 2(y + 4) = 4y is shown below:

step 1: 2(y + 4) = 4y
step 2: 2y + 6 = 4y
step 3: 2y = 6
step 4: y = 3

which of the following explains how to correct step 2 and shows the correct value of y?

he equation should be y + 4 = 4y after division by 2; y = 5.
the equation should be y + 4 = 4y after division by 2; y = 2.
2 should be distributed as 2y + 8; y = 4.
2 should be distributed as 2y + 8; y = 2.

Option 3 rd is correct

2 should be distributed as 2y + 8; y = 4.

Step-by-step explanation:

Given an equation:

Step 1.

Using distributive property, i.e,   we have;

Step 2.

Subtract 2y from both sides we have;

Step 3.

Divide both sides by 2;

Step 4.

y = 4

Therefore, to correct Step 2 2 should be distributed as 2y + 8; and the correct value of y is, y = 4

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)