(3y+53)+(7y-55)=180

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Solution for (3y+53)+(7y-55)=180 equation:


Simplifying
(3y + 53) + (7y + -55) = 180

Reorder the terms:
(53 + 3y) + (7y + -55) = 180

Remove parenthesis around (53 + 3y)
53 + 3y + (7y + -55) = 180

Reorder the terms:
53 + 3y + (-55 + 7y) = 180

Remove parenthesis around (-55 + 7y)
53 + 3y + -55 + 7y = 180

Reorder the terms:
53 + -55 + 3y + 7y = 180

Combine like terms: 53 + -55 = -2
-2 + 3y + 7y = 180

Combine like terms: 3y + 7y = 10y
-2 + 10y = 180

Solving
-2 + 10y = 180

Solving for variable 'y'.

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

Add '2' to each side of the equation.
-2 + 2 + 10y = 180 + 2

Combine like terms: -2 + 2 = 0
0 + 10y = 180 + 2
10y = 180 + 2

Combine like terms: 180 + 2 = 182
10y = 182

Divide each side by '10'.
y = 18.2

Simplifying
y = 18.2

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