(14y-4)+(37-y)=180

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Solution for (14y-4)+(37-y)=180 equation:


Simplifying
(14y + -4) + (37 + -1y) = 180

Reorder the terms:
(-4 + 14y) + (37 + -1y) = 180

Remove parenthesis around (-4 + 14y)
-4 + 14y + (37 + -1y) = 180

Remove parenthesis around (37 + -1y)
-4 + 14y + 37 + -1y = 180

Reorder the terms:
-4 + 37 + 14y + -1y = 180

Combine like terms: -4 + 37 = 33
33 + 14y + -1y = 180

Combine like terms: 14y + -1y = 13y
33 + 13y = 180

Solving
33 + 13y = 180

Solving for variable 'y'.

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

Add '-33' to each side of the equation.
33 + -33 + 13y = 180 + -33

Combine like terms: 33 + -33 = 0
0 + 13y = 180 + -33
13y = 180 + -33

Combine like terms: 180 + -33 = 147
13y = 147

Divide each side by '13'.
y = 11.30769231

Simplifying
y = 11.30769231

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