4y-5y+13-3y=9-3y-12y+8y

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Solution for 4y-5y+13-3y=9-3y-12y+8y equation: 


Simplifying
4y + -5y + 13 + -3y = 9 + -3y + -12y + 8y

Reorder the terms:
13 + 4y + -5y + -3y = 9 + -3y + -12y + 8y

Combine like terms: 4y + -5y = -1y
13 + -1y + -3y = 9 + -3y + -12y + 8y

Combine like terms: -1y + -3y = -4y
13 + -4y = 9 + -3y + -12y + 8y

Combine like terms: -3y + -12y = -15y
13 + -4y = 9 + -15y + 8y

Combine like terms: -15y + 8y = -7y
13 + -4y = 9 + -7y

Solving
13 + -4y = 9 + -7y

Solving for variable 'y'.

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

Add '7y' to each side of the equation.
13 + -4y + 7y = 9 + -7y + 7y

Combine like terms: -4y + 7y = 3y
13 + 3y = 9 + -7y + 7y

Combine like terms: -7y + 7y = 0
13 + 3y = 9 + 0
13 + 3y = 9

Add '-13' to each side of the equation.
13 + -13 + 3y = 9 + -13

Combine like terms: 13 + -13 = 0
0 + 3y = 9 + -13
3y = 9 + -13

Combine like terms: 9 + -13 = -4
3y = -4

Divide each side by '3'.
y = -1.333333333

Simplifying
y = -1.333333333

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