y+(y+10)+2[y+(y+10)]=180

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Solution for y+(y+10)+2[y+(y+10)]=180 equation: 


Simplifying
y + (y + 10) + 2[y + (y + 10)] = 180

Reorder the terms:
y + (10 + y) + 2[y + (y + 10)] = 180

Remove parenthesis around (10 + y)
y + 10 + y + 2[y + (y + 10)] = 180

Reorder the terms:
y + 10 + y + 2[y + (10 + y)] = 180

Remove parenthesis around (10 + y)
y + 10 + y + 2[y + 10 + y] = 180

Reorder the terms:
y + 10 + y + 2[10 + y + y] = 180

Combine like terms: y + y = 2y
y + 10 + y + 2[10 + 2y] = 180
y + 10 + y + [10 * 2 + 2y * 2] = 180
y + 10 + y + [20 + 4y] = 180

Reorder the terms:
10 + 20 + y + y + 4y = 180

Combine like terms: 10 + 20 = 30
30 + y + y + 4y = 180

Combine like terms: y + y = 2y
30 + 2y + 4y = 180

Combine like terms: 2y + 4y = 6y
30 + 6y = 180

Solving
30 + 6y = 180

Solving for variable 'y'.

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

Add '-30' to each side of the equation.
30 + -30 + 6y = 180 + -30

Combine like terms: 30 + -30 = 0
0 + 6y = 180 + -30
6y = 180 + -30

Combine like terms: 180 + -30 = 150
6y = 150

Divide each side by '6'.
y = 25

Simplifying
y = 25

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