[9(y+5)-18]+[3(y-3)+5]=

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Solution for [9(y+5)-18]+[3(y-3)+5]= equation:


Simplifying
[9(y + 5) + -18] + [3(y + -3) + 5] = 0

Reorder the terms:
[9(5 + y) + -18] + [3(y + -3) + 5] = 0
[(5 * 9 + y * 9) + -18] + [3(y + -3) + 5] = 0
[(45 + 9y) + -18] + [3(y + -3) + 5] = 0

Reorder the terms:
[45 + -18 + 9y] + [3(y + -3) + 5] = 0

Combine like terms: 45 + -18 = 27
[27 + 9y] + [3(y + -3) + 5] = 0

Remove brackets around [27 + 9y]
27 + 9y + [3(y + -3) + 5] = 0

Reorder the terms:
27 + 9y + [3(-3 + y) + 5] = 0
27 + 9y + [(-3 * 3 + y * 3) + 5] = 0
27 + 9y + [(-9 + 3y) + 5] = 0

Reorder the terms:
27 + 9y + [-9 + 5 + 3y] = 0

Combine like terms: -9 + 5 = -4
27 + 9y + [-4 + 3y] = 0

Remove brackets around [-4 + 3y]
27 + 9y + -4 + 3y = 0

Reorder the terms:
27 + -4 + 9y + 3y = 0

Combine like terms: 27 + -4 = 23
23 + 9y + 3y = 0

Combine like terms: 9y + 3y = 12y
23 + 12y = 0

Solving
23 + 12y = 0

Solving for variable 'y'.

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

Add '-23' to each side of the equation.
23 + -23 + 12y = 0 + -23

Combine like terms: 23 + -23 = 0
0 + 12y = 0 + -23
12y = 0 + -23

Combine like terms: 0 + -23 = -23
12y = -23

Divide each side by '12'.
y = -1.916666667

Simplifying
y = -1.916666667

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