(2y+30)+3(46.6+.66y)+10=180

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Solution for (2y+30)+3(46.6+.66y)+10=180 equation: 


Simplifying
(2y + 30) + 3(46.6 + 0.66y) + 10 = 180

Reorder the terms:
(30 + 2y) + 3(46.6 + 0.66y) + 10 = 180

Remove parenthesis around (30 + 2y)
30 + 2y + 3(46.6 + 0.66y) + 10 = 180
30 + 2y + (46.6 * 3 + 0.66y * 3) + 10 = 180
30 + 2y + (139.8 + 1.98y) + 10 = 180

Reorder the terms:
30 + 139.8 + 10 + 2y + 1.98y = 180

Combine like terms: 30 + 139.8 = 169.8
169.8 + 10 + 2y + 1.98y = 180

Combine like terms: 169.8 + 10 = 179.8
179.8 + 2y + 1.98y = 180

Combine like terms: 2y + 1.98y = 3.98y
179.8 + 3.98y = 180

Solving
179.8 + 3.98y = 180

Solving for variable 'y'.

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

Add '-179.8' to each side of the equation.
179.8 + -179.8 + 3.98y = 180 + -179.8

Combine like terms: 179.8 + -179.8 = 0.0
0.0 + 3.98y = 180 + -179.8
3.98y = 180 + -179.8

Combine like terms: 180 + -179.8 = 0.2
3.98y = 0.2

Divide each side by '3.98'.
y = 0.05025125628

Simplifying
y = 0.05025125628

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