2y+5*(2+2y)+11y+5*(10-4y)=66

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Solution for 2y+5*(2+2y)+11y+5*(10-4y)=66 equation: 


Simplifying
2y + 5(2 + 2y) + 11y + 5(10 + -4y) = 66
2y + (2 * 5 + 2y * 5) + 11y + 5(10 + -4y) = 66
2y + (10 + 10y) + 11y + 5(10 + -4y) = 66
2y + 10 + 10y + 11y + (10 * 5 + -4y * 5) = 66
2y + 10 + 10y + 11y + (50 + -20y) = 66

Reorder the terms:
10 + 50 + 2y + 10y + 11y + -20y = 66

Combine like terms: 10 + 50 = 60
60 + 2y + 10y + 11y + -20y = 66

Combine like terms: 2y + 10y = 12y
60 + 12y + 11y + -20y = 66

Combine like terms: 12y + 11y = 23y
60 + 23y + -20y = 66

Combine like terms: 23y + -20y = 3y
60 + 3y = 66

Solving
60 + 3y = 66

Solving for variable 'y'.

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

Add '-60' to each side of the equation.
60 + -60 + 3y = 66 + -60

Combine like terms: 60 + -60 = 0
0 + 3y = 66 + -60
3y = 66 + -60

Combine like terms: 66 + -60 = 6
3y = 6

Divide each side by '3'.
y = 2

Simplifying
y = 2

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