9(2y-2)+13=3(y+8)+16

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Solution for 9(2y-2)+13=3(y+8)+16 equation: 


Simplifying
9(2y + -2) + 13 = 3(y + 8) + 16

Reorder the terms:
9(-2 + 2y) + 13 = 3(y + 8) + 16
(-2 * 9 + 2y * 9) + 13 = 3(y + 8) + 16
(-18 + 18y) + 13 = 3(y + 8) + 16

Reorder the terms:
-18 + 13 + 18y = 3(y + 8) + 16

Combine like terms: -18 + 13 = -5
-5 + 18y = 3(y + 8) + 16

Reorder the terms:
-5 + 18y = 3(8 + y) + 16
-5 + 18y = (8 * 3 + y * 3) + 16
-5 + 18y = (24 + 3y) + 16

Reorder the terms:
-5 + 18y = 24 + 16 + 3y

Combine like terms: 24 + 16 = 40
-5 + 18y = 40 + 3y

Solving
-5 + 18y = 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.
-5 + 18y + -3y = 40 + 3y + -3y

Combine like terms: 18y + -3y = 15y
-5 + 15y = 40 + 3y + -3y

Combine like terms: 3y + -3y = 0
-5 + 15y = 40 + 0
-5 + 15y = 40

Add '5' to each side of the equation.
-5 + 5 + 15y = 40 + 5

Combine like terms: -5 + 5 = 0
0 + 15y = 40 + 5
15y = 40 + 5

Combine like terms: 40 + 5 = 45
15y = 45

Divide each side by '15'.
y = 3

Simplifying
y = 3

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