6(2y+3)+2(3y+7)+9=

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Solution for 6(2y+3)+2(3y+7)+9= equation:


Simplifying
6(2y + 3) + 2(3y + 7) + 9 = 0

Reorder the terms:
6(3 + 2y) + 2(3y + 7) + 9 = 0
(3 * 6 + 2y * 6) + 2(3y + 7) + 9 = 0
(18 + 12y) + 2(3y + 7) + 9 = 0

Reorder the terms:
18 + 12y + 2(7 + 3y) + 9 = 0
18 + 12y + (7 * 2 + 3y * 2) + 9 = 0
18 + 12y + (14 + 6y) + 9 = 0

Reorder the terms:
18 + 14 + 9 + 12y + 6y = 0

Combine like terms: 18 + 14 = 32
32 + 9 + 12y + 6y = 0

Combine like terms: 32 + 9 = 41
41 + 12y + 6y = 0

Combine like terms: 12y + 6y = 18y
41 + 18y = 0

Solving
41 + 18y = 0

Solving for variable 'y'.

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

Add '-41' to each side of the equation.
41 + -41 + 18y = 0 + -41

Combine like terms: 41 + -41 = 0
0 + 18y = 0 + -41
18y = 0 + -41

Combine like terms: 0 + -41 = -41
18y = -41

Divide each side by '18'.
y = -2.277777778

Simplifying
y = -2.277777778

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