Question

Ach equation, choose the plicable, give the solutior 5(2-y)-y=2(y+1)

Answer 1

To solve the equation 5(2-y)-y=2(y+1), distribute the 5 to both terms inside the parentheses on the left side and combine like terms. Move all terms containing y to one side of the equation and divide both sides by -8 to solve for y. The solution to the equation is y = 1.

Step-by-step explanation:

To solve the equation 5(2-y)-y=2(y+1):

1. First, distribute the 5 to both terms inside the parentheses on the left side: 10 - 5y - y = 2y + 2
2. Combine like terms on the left side: 10 - 6y = 2y + 2
3. Next, move all terms containing y to one side of the equation: -6y - 2y = 2 - 10
4. Simplify both sides: -8y = -8
5. Finally, solve for y by dividing both sides of the equation by -8: y = -8/-8 = 1

Therefore, the solution to the equation is y = 1.