3(y-9)=7-2y-16

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Solution for 3(y-9)=7-2y-16 equation:


Simplifying
3(y + -9) = 7 + -2y + -16

Reorder the terms:
3(-9 + y) = 7 + -2y + -16
(-9 * 3 + y * 3) = 7 + -2y + -16
(-27 + 3y) = 7 + -2y + -16

Reorder the terms:
-27 + 3y = 7 + -16 + -2y

Combine like terms: 7 + -16 = -9
-27 + 3y = -9 + -2y

Solving
-27 + 3y = -9 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
-27 + 3y + 2y = -9 + -2y + 2y

Combine like terms: 3y + 2y = 5y
-27 + 5y = -9 + -2y + 2y

Combine like terms: -2y + 2y = 0
-27 + 5y = -9 + 0
-27 + 5y = -9

Add '27' to each side of the equation.
-27 + 27 + 5y = -9 + 27

Combine like terms: -27 + 27 = 0
0 + 5y = -9 + 27
5y = -9 + 27

Combine like terms: -9 + 27 = 18
5y = 18

Divide each side by '5'.
y = 3.6

Simplifying
y = 3.6

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