Question

Which of the following options best explains the next step to simplify the expression 3y - 45 = 35y - 43y−45=35y−4?

A) Keep the exponent in the denominator –4.
B) Add 5 to –4.
C) Make the –4 exponent in the denominator positive.
D) Multiply 5 by –4.

Answer 1

To simplify the given expression, 3y - 45 = 35y - 43y - 45, we combine like terms and solve for y, resulting in the conclusion that y = 0 after adding 8y to both sides and dividing by 11.

Step-by-step explanation:

The expression given is 3y - 45 = 35y - 43y - 45. To simplify this expression, we need to combine like terms and solve for y. The first step is to simplify the right side of the equation by combining the y terms. That would give us 35y - 43y, which simplifies to -8y. The equation then becomes 3y - 45 = -8y - 45. To isolate y, we need to move all the y terms to one side and the constant terms to the other side. We do this by adding 8y to both sides to get 3y + 8y = -45 + 45, which simplifies to 11y = 0. Finally, we divide both sides by 11 to find the value of y which is y = 0.