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Find the sum.
(y+5) + (3y-9)

Sagot :

Eliminate parenthesis: Y+5+3y-9
Subtract the numbers: Y-4+3y
Combine like terms: y-4+3y
4y-4
Common factor: (y+5)+(3y-9)=4(y-1)

Solution: 4(y-1)

Answer:

y = 1

Step-by-step explanation:

Simplifying

(y + 5) + (3y + -9) = 0

Reorder the terms:

(5 + y) + (3y + -9) = 0

Remove parenthesis around (5 + y)

5 + y + (3y + -9) = 0

Reorder the terms:

5 + y + (-9 + 3y) = 0

Remove parenthesis around (-9 + 3y)

5 + y + -9 + 3y = 0

Reorder the terms:

5 + -9 + y + 3y = 0

Combine like terms: 5 + -9 = -4

-4 + y + 3y = 0

Combine like terms: y + 3y = 4y

-4 + 4y = 0

Solving

-4 + 4y = 0

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '4' to each side of the equation.

-4 + 4 + 4y = 0 + 4

Combine like terms: -4 + 4 = 0

0 + 4y = 0 + 4

4y = 0 + 4

Combine like terms: 0 + 4 = 4

4y = 4

Divide each side by '4'.

y = 1

Simplifying

y = 1

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