Question

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

Answer 1

Answer: y= -2.5

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

Answer 2

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

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{ ( - 5y)/( -5 ) = (2)/( - 5) }`

Calculate

⇒
`\sf{ - 0.4}`

Hope I helped!

Best regards!