10=2(3y-13)

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Solution for 10=2(3y-13) equation:


Simplifying
10 = 2(3y + -13)

Reorder the terms:
10 = 2(-13 + 3y)
10 = (-13 * 2 + 3y * 2)
10 = (-26 + 6y)

Solving
10 = -26 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
10 + -6y = -26 + 6y + -6y

Combine like terms: 6y + -6y = 0
10 + -6y = -26 + 0
10 + -6y = -26

Add '-10' to each side of the equation.
10 + -10 + -6y = -26 + -10

Combine like terms: 10 + -10 = 0
0 + -6y = -26 + -10
-6y = -26 + -10

Combine like terms: -26 + -10 = -36
-6y = -36

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

Simplifying
y = 6

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