[7(y+5)-15]+[2(y-3)+4]=

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Solution for [7(y+5)-15]+[2(y-3)+4]= equation:


Simplifying
[7(y + 5) + -15] + [2(y + -3) + 4] = 0

Reorder the terms:
[7(5 + y) + -15] + [2(y + -3) + 4] = 0
[(5 * 7 + y * 7) + -15] + [2(y + -3) + 4] = 0
[(35 + 7y) + -15] + [2(y + -3) + 4] = 0

Reorder the terms:
[35 + -15 + 7y] + [2(y + -3) + 4] = 0

Combine like terms: 35 + -15 = 20
[20 + 7y] + [2(y + -3) + 4] = 0

Remove brackets around [20 + 7y]
20 + 7y + [2(y + -3) + 4] = 0

Reorder the terms:
20 + 7y + [2(-3 + y) + 4] = 0
20 + 7y + [(-3 * 2 + y * 2) + 4] = 0
20 + 7y + [(-6 + 2y) + 4] = 0

Reorder the terms:
20 + 7y + [-6 + 4 + 2y] = 0

Combine like terms: -6 + 4 = -2
20 + 7y + [-2 + 2y] = 0

Remove brackets around [-2 + 2y]
20 + 7y + -2 + 2y = 0

Reorder the terms:
20 + -2 + 7y + 2y = 0

Combine like terms: 20 + -2 = 18
18 + 7y + 2y = 0

Combine like terms: 7y + 2y = 9y
18 + 9y = 0

Solving
18 + 9y = 0

Solving for variable 'y'.

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

Add '-18' to each side of the equation.
18 + -18 + 9y = 0 + -18

Combine like terms: 18 + -18 = 0
0 + 9y = 0 + -18
9y = 0 + -18

Combine like terms: 0 + -18 = -18
9y = -18

Divide each side by '9'.
y = -2

Simplifying
y = -2

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