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

cStep-by-step explanation:im sorry if its wrong but im sure its right...

What is the solution to the equation by -2(y +

jojosiwa6

31.01.2022

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

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!

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