(8y+2)+(25y-20)=180

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Solution for (8y+2)+(25y-20)=180 equation: 


Simplifying
(8y + 2) + (25y + -20) = 180

Reorder the terms:
(2 + 8y) + (25y + -20) = 180

Remove parenthesis around (2 + 8y)
2 + 8y + (25y + -20) = 180

Reorder the terms:
2 + 8y + (-20 + 25y) = 180

Remove parenthesis around (-20 + 25y)
2 + 8y + -20 + 25y = 180

Reorder the terms:
2 + -20 + 8y + 25y = 180

Combine like terms: 2 + -20 = -18
-18 + 8y + 25y = 180

Combine like terms: 8y + 25y = 33y
-18 + 33y = 180

Solving
-18 + 33y = 180

Solving for variable 'y'.

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

Add '18' to each side of the equation.
-18 + 18 + 33y = 180 + 18

Combine like terms: -18 + 18 = 0
0 + 33y = 180 + 18
33y = 180 + 18

Combine like terms: 180 + 18 = 198
33y = 198

Divide each side by '33'.
y = 6

Simplifying
y = 6

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