(y-1)+(2y-3)+(3y-9)=180

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Solution for (y-1)+(2y-3)+(3y-9)=180 equation:


Simplifying
(y + -1) + (2y + -3) + (3y + -9) = 180

Reorder the terms:
(-1 + y) + (2y + -3) + (3y + -9) = 180

Remove parenthesis around (-1 + y)
-1 + y + (2y + -3) + (3y + -9) = 180

Reorder the terms:
-1 + y + (-3 + 2y) + (3y + -9) = 180

Remove parenthesis around (-3 + 2y)
-1 + y + -3 + 2y + (3y + -9) = 180

Reorder the terms:
-1 + y + -3 + 2y + (-9 + 3y) = 180

Remove parenthesis around (-9 + 3y)
-1 + y + -3 + 2y + -9 + 3y = 180

Reorder the terms:
-1 + -3 + -9 + y + 2y + 3y = 180

Combine like terms: -1 + -3 = -4
-4 + -9 + y + 2y + 3y = 180

Combine like terms: -4 + -9 = -13
-13 + y + 2y + 3y = 180

Combine like terms: y + 2y = 3y
-13 + 3y + 3y = 180

Combine like terms: 3y + 3y = 6y
-13 + 6y = 180

Solving
-13 + 6y = 180

Solving for variable 'y'.

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

Add '13' to each side of the equation.
-13 + 13 + 6y = 180 + 13

Combine like terms: -13 + 13 = 0
0 + 6y = 180 + 13
6y = 180 + 13

Combine like terms: 180 + 13 = 193
6y = 193

Divide each side by '6'.
y = 32.16666667

Simplifying
y = 32.16666667

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