-5y+2=9-8y+16

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Solution for -5y+2=9-8y+16 equation:


Simplifying
-5y + 2 = 9 + -8y + 16

Reorder the terms:
2 + -5y = 9 + -8y + 16

Reorder the terms:
2 + -5y = 9 + 16 + -8y

Combine like terms: 9 + 16 = 25
2 + -5y = 25 + -8y

Solving
2 + -5y = 25 + -8y

Solving for variable 'y'.

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

Add '8y' to each side of the equation.
2 + -5y + 8y = 25 + -8y + 8y

Combine like terms: -5y + 8y = 3y
2 + 3y = 25 + -8y + 8y

Combine like terms: -8y + 8y = 0
2 + 3y = 25 + 0
2 + 3y = 25

Add '-2' to each side of the equation.
2 + -2 + 3y = 25 + -2

Combine like terms: 2 + -2 = 0
0 + 3y = 25 + -2
3y = 25 + -2

Combine like terms: 25 + -2 = 23
3y = 23

Divide each side by '3'.
y = 7.666666667

Simplifying
y = 7.666666667

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