(y+10)+(3y-20)+70=180

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Solution for (y+10)+(3y-20)+70=180 equation:


Simplifying
(y + 10) + (3y + -20) + 70 = 180

Reorder the terms:
(10 + y) + (3y + -20) + 70 = 180

Remove parenthesis around (10 + y)
10 + y + (3y + -20) + 70 = 180

Reorder the terms:
10 + y + (-20 + 3y) + 70 = 180

Remove parenthesis around (-20 + 3y)
10 + y + -20 + 3y + 70 = 180

Reorder the terms:
10 + -20 + 70 + y + 3y = 180

Combine like terms: 10 + -20 = -10
-10 + 70 + y + 3y = 180

Combine like terms: -10 + 70 = 60
60 + y + 3y = 180

Combine like terms: y + 3y = 4y
60 + 4y = 180

Solving
60 + 4y = 180

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 + 4y = 180 + -60

Combine like terms: 60 + -60 = 0
0 + 4y = 180 + -60
4y = 180 + -60

Combine like terms: 180 + -60 = 120
4y = 120

Divide each side by '4'.
y = 30

Simplifying
y = 30

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