13=3(y+6)+2y

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Solution for 13=3(y+6)+2y equation:


Simplifying
13 = 3(y + 6) + 2y

Reorder the terms:
13 = 3(6 + y) + 2y
13 = (6 * 3 + y * 3) + 2y
13 = (18 + 3y) + 2y

Combine like terms: 3y + 2y = 5y
13 = 18 + 5y

Solving
13 = 18 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
13 + -5y = 18 + 5y + -5y

Combine like terms: 5y + -5y = 0
13 + -5y = 18 + 0
13 + -5y = 18

Add '-13' to each side of the equation.
13 + -13 + -5y = 18 + -13

Combine like terms: 13 + -13 = 0
0 + -5y = 18 + -13
-5y = 18 + -13

Combine like terms: 18 + -13 = 5
-5y = 5

Divide each side by '-5'.
y = -1

Simplifying
y = -1

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