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

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


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

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

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

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

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

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

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

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

Combine like terms: 3y + y = 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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