10y-2=40-3y

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Solution for 10y-2=40-3y equation:


Simplifying
10y + -2 = 40 + -3y

Reorder the terms:
-2 + 10y = 40 + -3y

Solving
-2 + 10y = 40 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
-2 + 10y + 3y = 40 + -3y + 3y

Combine like terms: 10y + 3y = 13y
-2 + 13y = 40 + -3y + 3y

Combine like terms: -3y + 3y = 0
-2 + 13y = 40 + 0
-2 + 13y = 40

Add '2' to each side of the equation.
-2 + 2 + 13y = 40 + 2

Combine like terms: -2 + 2 = 0
0 + 13y = 40 + 2
13y = 40 + 2

Combine like terms: 40 + 2 = 42
13y = 42

Divide each side by '13'.
y = 3.230769231

Simplifying
y = 3.230769231

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