[7(y+5)-17]+[2(y-3)+1]=

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Solution for [7(y+5)-17]+[2(y-3)+1]= equation:


Simplifying
[7(y + 5) + -17] + [2(y + -3) + 1] = 0

Reorder the terms:
[7(5 + y) + -17] + [2(y + -3) + 1] = 0
[(5 * 7 + y * 7) + -17] + [2(y + -3) + 1] = 0
[(35 + 7y) + -17] + [2(y + -3) + 1] = 0

Reorder the terms:
[35 + -17 + 7y] + [2(y + -3) + 1] = 0

Combine like terms: 35 + -17 = 18
[18 + 7y] + [2(y + -3) + 1] = 0

Remove brackets around [18 + 7y]
18 + 7y + [2(y + -3) + 1] = 0

Reorder the terms:
18 + 7y + [2(-3 + y) + 1] = 0
18 + 7y + [(-3 * 2 + y * 2) + 1] = 0
18 + 7y + [(-6 + 2y) + 1] = 0

Reorder the terms:
18 + 7y + [-6 + 1 + 2y] = 0

Combine like terms: -6 + 1 = -5
18 + 7y + [-5 + 2y] = 0

Remove brackets around [-5 + 2y]
18 + 7y + -5 + 2y = 0

Reorder the terms:
18 + -5 + 7y + 2y = 0

Combine like terms: 18 + -5 = 13
13 + 7y + 2y = 0

Combine like terms: 7y + 2y = 9y
13 + 9y = 0

Solving
13 + 9y = 0

Solving for variable 'y'.

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

Add '-13' to each side of the equation.
13 + -13 + 9y = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 9y = 0 + -13
9y = 0 + -13

Combine like terms: 0 + -13 = -13
9y = -13

Divide each side by '9'.
y = -1.444444444

Simplifying
y = -1.444444444

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