7y+2(y-8)=3(y+2)-3

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Solution for 7y+2(y-8)=3(y+2)-3 equation:


Simplifying
7y + 2(y + -8) = 3(y + 2) + -3

Reorder the terms:
7y + 2(-8 + y) = 3(y + 2) + -3
7y + (-8 * 2 + y * 2) = 3(y + 2) + -3
7y + (-16 + 2y) = 3(y + 2) + -3

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

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

Reorder the terms:
-16 + 9y = 3(2 + y) + -3
-16 + 9y = (2 * 3 + y * 3) + -3
-16 + 9y = (6 + 3y) + -3

Reorder the terms:
-16 + 9y = 6 + -3 + 3y

Combine like terms: 6 + -3 = 3
-16 + 9y = 3 + 3y

Solving
-16 + 9y = 3 + 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.
-16 + 9y + -3y = 3 + 3y + -3y

Combine like terms: 9y + -3y = 6y
-16 + 6y = 3 + 3y + -3y

Combine like terms: 3y + -3y = 0
-16 + 6y = 3 + 0
-16 + 6y = 3

Add '16' to each side of the equation.
-16 + 16 + 6y = 3 + 16

Combine like terms: -16 + 16 = 0
0 + 6y = 3 + 16
6y = 3 + 16

Combine like terms: 3 + 16 = 19
6y = 19

Divide each side by '6'.
y = 3.166666667

Simplifying
y = 3.166666667

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