(3y+2)+(6y-11)+90=180

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Solution for (3y+2)+(6y-11)+90=180 equation:


Simplifying
(3y + 2) + (6y + -11) + 90 = 180

Reorder the terms:
(2 + 3y) + (6y + -11) + 90 = 180

Remove parenthesis around (2 + 3y)
2 + 3y + (6y + -11) + 90 = 180

Reorder the terms:
2 + 3y + (-11 + 6y) + 90 = 180

Remove parenthesis around (-11 + 6y)
2 + 3y + -11 + 6y + 90 = 180

Reorder the terms:
2 + -11 + 90 + 3y + 6y = 180

Combine like terms: 2 + -11 = -9
-9 + 90 + 3y + 6y = 180

Combine like terms: -9 + 90 = 81
81 + 3y + 6y = 180

Combine like terms: 3y + 6y = 9y
81 + 9y = 180

Solving
81 + 9y = 180

Solving for variable 'y'.

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

Add '-81' to each side of the equation.
81 + -81 + 9y = 180 + -81

Combine like terms: 81 + -81 = 0
0 + 9y = 180 + -81
9y = 180 + -81

Combine like terms: 180 + -81 = 99
9y = 99

Divide each side by '9'.
y = 11

Simplifying
y = 11

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