(y+7)+(3y-17)=180

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Solution for (y+7)+(3y-17)=180 equation:


Simplifying
(y + 7) + (3y + -17) = 180

Reorder the terms:
(7 + y) + (3y + -17) = 180

Remove parenthesis around (7 + y)
7 + y + (3y + -17) = 180

Reorder the terms:
7 + y + (-17 + 3y) = 180

Remove parenthesis around (-17 + 3y)
7 + y + -17 + 3y = 180

Reorder the terms:
7 + -17 + y + 3y = 180

Combine like terms: 7 + -17 = -10
-10 + y + 3y = 180

Combine like terms: y + 3y = 4y
-10 + 4y = 180

Solving
-10 + 4y = 180

Solving for variable 'y'.

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

Add '10' to each side of the equation.
-10 + 10 + 4y = 180 + 10

Combine like terms: -10 + 10 = 0
0 + 4y = 180 + 10
4y = 180 + 10

Combine like terms: 180 + 10 = 190
4y = 190

Divide each side by '4'.
y = 47.5

Simplifying
y = 47.5

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