10y-5=9y-2

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Solution for 10y-5=9y-2 equation:


Simplifying
10y + -5 = 9y + -2

Reorder the terms:
-5 + 10y = 9y + -2

Reorder the terms:
-5 + 10y = -2 + 9y

Solving
-5 + 10y = -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.
-5 + 10y + -9y = -2 + 9y + -9y

Combine like terms: 10y + -9y = 1y
-5 + 1y = -2 + 9y + -9y

Combine like terms: 9y + -9y = 0
-5 + 1y = -2 + 0
-5 + 1y = -2

Add '5' to each side of the equation.
-5 + 5 + 1y = -2 + 5

Combine like terms: -5 + 5 = 0
0 + 1y = -2 + 5
1y = -2 + 5

Combine like terms: -2 + 5 = 3
1y = 3

Divide each side by '1'.
y = 3

Simplifying
y = 3

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