Question

What is the solution to the equation by -2(y + 1) = 3(y – 2) + 6?

Answer 1

Answer:

$\boxed{ \bold{ \boxed{ \sf{ y = - 0.4}}}}$

Step-by-step explanation:

$\sf{ - 2(y + 1) = 3(y - 2) + 6}$

Distribute -2 through the parentheses

Similarly, Distribute 3 through the parentheses

⇒$\sf{ - 2y - 2 = 3y - 6 + 6}$

Since two opposites add up to zero , remove them

⇒$\sf{ - 2y - 2 = 3y}$

Move 3y to Left hand side and change it's sign

Similarly, move -1 to right hand side and change it's sign

⇒$\sf{ - 2y - 3y = 2}$

Collect like term

⇒$\sf{ - 5y = 2}$

Divide both sides of the equation by -5

⇒$\sf{ \frac{ - 5y}{ -5 } = \frac{2}{ - 5} }$

Calculate

⇒$\sf{ - 0.4}$

Hope I helped!

Best regards!

Answer 2

Answer: y= -2.5

Step-by-step explanation:

Distribute the -2 and 3 into the parentheses. -6 + 6 cancels out so you are left with 3y on the right side. Add 2y to the right side leaving you with -2=5y. Divide both sides by -2