3y-(7y+9)=8-(13y-5)

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Solution for 3y-(7y+9)=8-(13y-5) equation:


Simplifying
3y + -1(7y + 9) = 8 + -1(13y + -5)

Reorder the terms:
3y + -1(9 + 7y) = 8 + -1(13y + -5)
3y + (9 * -1 + 7y * -1) = 8 + -1(13y + -5)
3y + (-9 + -7y) = 8 + -1(13y + -5)

Reorder the terms:
-9 + 3y + -7y = 8 + -1(13y + -5)

Combine like terms: 3y + -7y = -4y
-9 + -4y = 8 + -1(13y + -5)

Reorder the terms:
-9 + -4y = 8 + -1(-5 + 13y)
-9 + -4y = 8 + (-5 * -1 + 13y * -1)
-9 + -4y = 8 + (5 + -13y)

Combine like terms: 8 + 5 = 13
-9 + -4y = 13 + -13y

Solving
-9 + -4y = 13 + -13y

Solving for variable 'y'.

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

Add '13y' to each side of the equation.
-9 + -4y + 13y = 13 + -13y + 13y

Combine like terms: -4y + 13y = 9y
-9 + 9y = 13 + -13y + 13y

Combine like terms: -13y + 13y = 0
-9 + 9y = 13 + 0
-9 + 9y = 13

Add '9' to each side of the equation.
-9 + 9 + 9y = 13 + 9

Combine like terms: -9 + 9 = 0
0 + 9y = 13 + 9
9y = 13 + 9

Combine like terms: 13 + 9 = 22
9y = 22

Divide each side by '9'.
y = 2.444444444

Simplifying
y = 2.444444444

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