10(2y+2)-9=2(8y-8)

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Solution for 10(2y+2)-9=2(8y-8) equation:


Simplifying
10(2y + 2) + -9 = 2(8y + -8)

Reorder the terms:
10(2 + 2y) + -9 = 2(8y + -8)
(2 * 10 + 2y * 10) + -9 = 2(8y + -8)
(20 + 20y) + -9 = 2(8y + -8)

Reorder the terms:
20 + -9 + 20y = 2(8y + -8)

Combine like terms: 20 + -9 = 11
11 + 20y = 2(8y + -8)

Reorder the terms:
11 + 20y = 2(-8 + 8y)
11 + 20y = (-8 * 2 + 8y * 2)
11 + 20y = (-16 + 16y)

Solving
11 + 20y = -16 + 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.
11 + 20y + -16y = -16 + 16y + -16y

Combine like terms: 20y + -16y = 4y
11 + 4y = -16 + 16y + -16y

Combine like terms: 16y + -16y = 0
11 + 4y = -16 + 0
11 + 4y = -16

Add '-11' to each side of the equation.
11 + -11 + 4y = -16 + -11

Combine like terms: 11 + -11 = 0
0 + 4y = -16 + -11
4y = -16 + -11

Combine like terms: -16 + -11 = -27
4y = -27

Divide each side by '4'.
y = -6.75

Simplifying
y = -6.75

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