2(y-2)+16=5y+9

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Solution for 2(y-2)+16=5y+9 equation: 


Simplifying
2(y + -2) + 16 = 5y + 9

Reorder the terms:
2(-2 + y) + 16 = 5y + 9
(-2 * 2 + y * 2) + 16 = 5y + 9
(-4 + 2y) + 16 = 5y + 9

Reorder the terms:
-4 + 16 + 2y = 5y + 9

Combine like terms: -4 + 16 = 12
12 + 2y = 5y + 9

Reorder the terms:
12 + 2y = 9 + 5y

Solving
12 + 2y = 9 + 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.
12 + 2y + -5y = 9 + 5y + -5y

Combine like terms: 2y + -5y = -3y
12 + -3y = 9 + 5y + -5y

Combine like terms: 5y + -5y = 0
12 + -3y = 9 + 0
12 + -3y = 9

Add '-12' to each side of the equation.
12 + -12 + -3y = 9 + -12

Combine like terms: 12 + -12 = 0
0 + -3y = 9 + -12
-3y = 9 + -12

Combine like terms: 9 + -12 = -3
-3y = -3

Divide each side by '-3'.
y = 1

Simplifying
y = 1

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