(18y-18)+6((18.4+-1.6y)-2)=180

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Solution for (18y-18)+6((18.4+-1.6y)-2)=180 equation:


Simplifying
(18y + -18) + 6((18.4 + -1.6y) + -2) = 180

Reorder the terms:
(-18 + 18y) + 6((18.4 + -1.6y) + -2) = 180

Remove parenthesis around (-18 + 18y)
-18 + 18y + 6((18.4 + -1.6y) + -2) = 180

Remove parenthesis around (18.4 + -1.6y)
-18 + 18y + 6(18.4 + -1.6y + -2) = 180

Reorder the terms:
-18 + 18y + 6(18.4 + -2 + -1.6y) = 180

Combine like terms: 18.4 + -2 = 16.4
-18 + 18y + 6(16.4 + -1.6y) = 180
-18 + 18y + (16.4 * 6 + -1.6y * 6) = 180
-18 + 18y + (98.4 + -9.6y) = 180

Reorder the terms:
-18 + 98.4 + 18y + -9.6y = 180

Combine like terms: -18 + 98.4 = 80.4
80.4 + 18y + -9.6y = 180

Combine like terms: 18y + -9.6y = 8.4y
80.4 + 8.4y = 180

Solving
80.4 + 8.4y = 180

Solving for variable 'y'.

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

Add '-80.4' to each side of the equation.
80.4 + -80.4 + 8.4y = 180 + -80.4

Combine like terms: 80.4 + -80.4 = 0.0
0.0 + 8.4y = 180 + -80.4
8.4y = 180 + -80.4

Combine like terms: 180 + -80.4 = 99.6
8.4y = 99.6

Divide each side by '8.4'.
y = 11.85714286

Simplifying
y = 11.85714286

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