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

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


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

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

Combine like terms: 5y + -2y = 3y
8 + 3y = 9y + -2

Reorder the terms:
8 + 3y = -2 + 9y

Solving
8 + 3y = -2 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
8 + 3y + -9y = -2 + 9y + -9y

Combine like terms: 3y + -9y = -6y
8 + -6y = -2 + 9y + -9y

Combine like terms: 9y + -9y = 0
8 + -6y = -2 + 0
8 + -6y = -2

Add '-8' to each side of the equation.
8 + -8 + -6y = -2 + -8

Combine like terms: 8 + -8 = 0
0 + -6y = -2 + -8
-6y = -2 + -8

Combine like terms: -2 + -8 = -10
-6y = -10

Divide each side by '-6'.
y = 1.666666667

Simplifying
y = 1.666666667

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