8(y+9)+y=2(y+3)-2

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Solution for 8(y+9)+y=2(y+3)-2 equation:


Simplifying
8(y + 9) + y = 2(y + 3) + -2

Reorder the terms:
8(9 + y) + y = 2(y + 3) + -2
(9 * 8 + y * 8) + y = 2(y + 3) + -2
(72 + 8y) + y = 2(y + 3) + -2

Combine like terms: 8y + y = 9y
72 + 9y = 2(y + 3) + -2

Reorder the terms:
72 + 9y = 2(3 + y) + -2
72 + 9y = (3 * 2 + y * 2) + -2
72 + 9y = (6 + 2y) + -2

Reorder the terms:
72 + 9y = 6 + -2 + 2y

Combine like terms: 6 + -2 = 4
72 + 9y = 4 + 2y

Solving
72 + 9y = 4 + 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.
72 + 9y + -2y = 4 + 2y + -2y

Combine like terms: 9y + -2y = 7y
72 + 7y = 4 + 2y + -2y

Combine like terms: 2y + -2y = 0
72 + 7y = 4 + 0
72 + 7y = 4

Add '-72' to each side of the equation.
72 + -72 + 7y = 4 + -72

Combine like terms: 72 + -72 = 0
0 + 7y = 4 + -72
7y = 4 + -72

Combine like terms: 4 + -72 = -68
7y = -68

Divide each side by '7'.
y = -9.714285714

Simplifying
y = -9.714285714

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