10y-2=8y+5

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Solution for 10y-2=8y+5 equation:


Simplifying
10y + -2 = 8y + 5

Reorder the terms:
-2 + 10y = 8y + 5

Reorder the terms:
-2 + 10y = 5 + 8y

Solving
-2 + 10y = 5 + 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 + 10y + -8y = 5 + 8y + -8y

Combine like terms: 10y + -8y = 2y
-2 + 2y = 5 + 8y + -8y

Combine like terms: 8y + -8y = 0
-2 + 2y = 5 + 0
-2 + 2y = 5

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

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

Combine like terms: 5 + 2 = 7
2y = 7

Divide each side by '2'.
y = 3.5

Simplifying
y = 3.5

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