(y+10)+(3y-2)=180

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Solution for (y+10)+(3y-2)=180 equation: 


Simplifying
(y + 10) + (3y + -2) = 180

Reorder the terms:
(10 + y) + (3y + -2) = 180

Remove parenthesis around (10 + y)
10 + y + (3y + -2) = 180

Reorder the terms:
10 + y + (-2 + 3y) = 180

Remove parenthesis around (-2 + 3y)
10 + y + -2 + 3y = 180

Reorder the terms:
10 + -2 + y + 3y = 180

Combine like terms: 10 + -2 = 8
8 + y + 3y = 180

Combine like terms: y + 3y = 4y
8 + 4y = 180

Solving
8 + 4y = 180

Solving for variable 'y'.

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

Add '-8' to each side of the equation.
8 + -8 + 4y = 180 + -8

Combine like terms: 8 + -8 = 0
0 + 4y = 180 + -8
4y = 180 + -8

Combine like terms: 180 + -8 = 172
4y = 172

Divide each side by '4'.
y = 43

Simplifying
y = 43

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