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elena55 [62]
3 years ago
11

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

Mathematics
2 answers:
Oxana [17]3 years ago
7 0

Answer:

<h3>\boxed{ \bold{ \boxed{ \sf{ y =  - 0.4}}}}</h3>

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!

Vadim26 [7]3 years ago
4 0

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

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