5(y+2)-4y=-2(9y+8)+16y

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Solution for 5(y+2)-4y=-2(9y+8)+16y equation: 


Simplifying
5(y + 2) + -4y = -2(9y + 8) + 16y

Reorder the terms:
5(2 + y) + -4y = -2(9y + 8) + 16y
(2 * 5 + y * 5) + -4y = -2(9y + 8) + 16y
(10 + 5y) + -4y = -2(9y + 8) + 16y

Combine like terms: 5y + -4y = 1y
10 + 1y = -2(9y + 8) + 16y

Reorder the terms:
10 + 1y = -2(8 + 9y) + 16y
10 + 1y = (8 * -2 + 9y * -2) + 16y
10 + 1y = (-16 + -18y) + 16y

Combine like terms: -18y + 16y = -2y
10 + 1y = -16 + -2y

Solving
10 + 1y = -16 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
10 + 1y + 2y = -16 + -2y + 2y

Combine like terms: 1y + 2y = 3y
10 + 3y = -16 + -2y + 2y

Combine like terms: -2y + 2y = 0
10 + 3y = -16 + 0
10 + 3y = -16

Add '-10' to each side of the equation.
10 + -10 + 3y = -16 + -10

Combine like terms: 10 + -10 = 0
0 + 3y = -16 + -10
3y = -16 + -10

Combine like terms: -16 + -10 = -26
3y = -26

Divide each side by '3'.
y = -8.666666667

Simplifying
y = -8.666666667

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