Solving an equation with distributive property on both sides

The video tutorial explains how to solve an equation involving variables on both sides. It begins by setting up the problem and highlighting the need to simplify the equation using the distributive property. The tutorial then demonstrates how to isolate variables by moving them to one side and using inverse operations. Finally, it shows how to find the solution for the variable, ensuring the equation is balanced throughout the process.

Why is it not advisable to directly undo operations inside parentheses in the given equation?

• It makes the equation more complex.

• It simplifies the equation too much.

• It results in a loss of variables.

• It is mathematically incorrect.

What property is recommended to eliminate parentheses in the equation?

• Associative Property

• Identity Property

• Distributive Property

• Commutative Property

After applying the distributive property, what is the resulting equation?

• 5Y - 20 = 14Y + 7

• 5Y + 4 = 14Y - 1

• 5Y - 4 = 14Y + 1

• 5Y + 20 = 14Y - 7

What is the first step in solving the equation after simplifying it?

• Multiply both sides by 9

• Divide both sides by 9

• Subtract 5Y from both sides

• Add 7 to both sides

What is the final solution for the variable Y in the equation?

• Y = 9

• Y = 3

• Y = -3

• Y = -9