9(y+2)-3(y-7)=12

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Solution for 9(y+2)-3(y-7)=12 equation:


Simplifying
9(y + 2) + -3(y + -7) = 12

Reorder the terms:
9(2 + y) + -3(y + -7) = 12
(2 * 9 + y * 9) + -3(y + -7) = 12
(18 + 9y) + -3(y + -7) = 12

Reorder the terms:
18 + 9y + -3(-7 + y) = 12
18 + 9y + (-7 * -3 + y * -3) = 12
18 + 9y + (21 + -3y) = 12

Reorder the terms:
18 + 21 + 9y + -3y = 12

Combine like terms: 18 + 21 = 39
39 + 9y + -3y = 12

Combine like terms: 9y + -3y = 6y
39 + 6y = 12

Solving
39 + 6y = 12

Solving for variable 'y'.

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

Add '-39' to each side of the equation.
39 + -39 + 6y = 12 + -39

Combine like terms: 39 + -39 = 0
0 + 6y = 12 + -39
6y = 12 + -39

Combine like terms: 12 + -39 = -27
6y = -27

Divide each side by '6'.
y = -4.5

Simplifying
y = -4.5

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