To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

3a⁴ + 4a⁴ = 7a⁴

You need to find the value of b so solve the first equation in terms of y:

4b + y = -3
y = -3 - 4b

then substitute the result (-3 - 4b) into the second equation:

6b - 6(-3 - 4b) = -4
6b + (-6 x -3) + (-6 x -4b) = -4
6b + 18 + 24b = -4
6b + 24b = -4 - 18
30b = -22
b = \( \frac{-22}{30} \)
b = -\(\frac{11}{15}\)

A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:

(y - 6)(y + 2)
(y x y) + (y x 2) + (-6 x y) + (-6 x 2)
y² + 2y - 6y - 12
y² - 4y - 12

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.

8a - 2 = 4 - a
8a = 4 - a + 2
8a + a = 4 + 2
9a = 6
a = \( \frac{6}{9} \)
a = \(\frac{2}{3}\)