5y+2y-3=9y-8

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Solution for 5y+2y-3=9y-8 equation:


Simplifying
5y + 2y + -3 = 9y + -8

Reorder the terms:
-3 + 5y + 2y = 9y + -8

Combine like terms: 5y + 2y = 7y
-3 + 7y = 9y + -8

Reorder the terms:
-3 + 7y = -8 + 9y

Solving
-3 + 7y = -8 + 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.
-3 + 7y + -9y = -8 + 9y + -9y

Combine like terms: 7y + -9y = -2y
-3 + -2y = -8 + 9y + -9y

Combine like terms: 9y + -9y = 0
-3 + -2y = -8 + 0
-3 + -2y = -8

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

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

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

Divide each side by '-2'.
y = 2.5

Simplifying
y = 2.5

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