5y+4y+15=-13y-8y+9-17

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Solution for 5y+4y+15=-13y-8y+9-17 equation:


Simplifying
5y + 4y + 15 = -13y + -8y + 9 + -17

Reorder the terms:
15 + 5y + 4y = -13y + -8y + 9 + -17

Combine like terms: 5y + 4y = 9y
15 + 9y = -13y + -8y + 9 + -17

Reorder the terms:
15 + 9y = 9 + -17 + -13y + -8y

Combine like terms: 9 + -17 = -8
15 + 9y = -8 + -13y + -8y

Combine like terms: -13y + -8y = -21y
15 + 9y = -8 + -21y

Solving
15 + 9y = -8 + -21y

Solving for variable 'y'.

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

Add '21y' to each side of the equation.
15 + 9y + 21y = -8 + -21y + 21y

Combine like terms: 9y + 21y = 30y
15 + 30y = -8 + -21y + 21y

Combine like terms: -21y + 21y = 0
15 + 30y = -8 + 0
15 + 30y = -8

Add '-15' to each side of the equation.
15 + -15 + 30y = -8 + -15

Combine like terms: 15 + -15 = 0
0 + 30y = -8 + -15
30y = -8 + -15

Combine like terms: -8 + -15 = -23
30y = -23

Divide each side by '30'.
y = -0.7666666667

Simplifying
y = -0.7666666667

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