(y-5)=2(10+3y)

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Solution for (y-5)=2(10+3y) equation:


Simplifying
(y + -5) = 2(10 + 3y)

Reorder the terms:
(-5 + y) = 2(10 + 3y)

Remove parenthesis around (-5 + y)
-5 + y = 2(10 + 3y)
-5 + y = (10 * 2 + 3y * 2)
-5 + y = (20 + 6y)

Solving
-5 + y = 20 + 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.
-5 + y + -6y = 20 + 6y + -6y

Combine like terms: y + -6y = -5y
-5 + -5y = 20 + 6y + -6y

Combine like terms: 6y + -6y = 0
-5 + -5y = 20 + 0
-5 + -5y = 20

Add '5' to each side of the equation.
-5 + 5 + -5y = 20 + 5

Combine like terms: -5 + 5 = 0
0 + -5y = 20 + 5
-5y = 20 + 5

Combine like terms: 20 + 5 = 25
-5y = 25

Divide each side by '-5'.
y = -5

Simplifying
y = -5

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