24-(9y+20)-y=-6y-5(2y-2)+10

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Solution for 24-(9y+20)-y=-6y-5(2y-2)+10 equation:


Simplifying
24 + -1(9y + 20) + -1y = -6y + -5(2y + -2) + 10

Reorder the terms:
24 + -1(20 + 9y) + -1y = -6y + -5(2y + -2) + 10
24 + (20 * -1 + 9y * -1) + -1y = -6y + -5(2y + -2) + 10
24 + (-20 + -9y) + -1y = -6y + -5(2y + -2) + 10

Combine like terms: 24 + -20 = 4
4 + -9y + -1y = -6y + -5(2y + -2) + 10

Combine like terms: -9y + -1y = -10y
4 + -10y = -6y + -5(2y + -2) + 10

Reorder the terms:
4 + -10y = -6y + -5(-2 + 2y) + 10
4 + -10y = -6y + (-2 * -5 + 2y * -5) + 10
4 + -10y = -6y + (10 + -10y) + 10

Reorder the terms:
4 + -10y = 10 + 10 + -6y + -10y

Combine like terms: 10 + 10 = 20
4 + -10y = 20 + -6y + -10y

Combine like terms: -6y + -10y = -16y
4 + -10y = 20 + -16y

Solving
4 + -10y = 20 + -16y

Solving for variable 'y'.

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

Add '16y' to each side of the equation.
4 + -10y + 16y = 20 + -16y + 16y

Combine like terms: -10y + 16y = 6y
4 + 6y = 20 + -16y + 16y

Combine like terms: -16y + 16y = 0
4 + 6y = 20 + 0
4 + 6y = 20

Add '-4' to each side of the equation.
4 + -4 + 6y = 20 + -4

Combine like terms: 4 + -4 = 0
0 + 6y = 20 + -4
6y = 20 + -4

Combine like terms: 20 + -4 = 16
6y = 16

Divide each side by '6'.
y = 2.666666667

Simplifying
y = 2.666666667

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