78+(2y-14)+(3y+1)=180

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Solution for 78+(2y-14)+(3y+1)=180 equation:


Simplifying
78 + (2y + -14) + (3y + 1) = 180

Reorder the terms:
78 + (-14 + 2y) + (3y + 1) = 180

Remove parenthesis around (-14 + 2y)
78 + -14 + 2y + (3y + 1) = 180

Reorder the terms:
78 + -14 + 2y + (1 + 3y) = 180

Remove parenthesis around (1 + 3y)
78 + -14 + 2y + 1 + 3y = 180

Reorder the terms:
78 + -14 + 1 + 2y + 3y = 180

Combine like terms: 78 + -14 = 64
64 + 1 + 2y + 3y = 180

Combine like terms: 64 + 1 = 65
65 + 2y + 3y = 180

Combine like terms: 2y + 3y = 5y
65 + 5y = 180

Solving
65 + 5y = 180

Solving for variable 'y'.

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

Add '-65' to each side of the equation.
65 + -65 + 5y = 180 + -65

Combine like terms: 65 + -65 = 0
0 + 5y = 180 + -65
5y = 180 + -65

Combine like terms: 180 + -65 = 115
5y = 115

Divide each side by '5'.
y = 23

Simplifying
y = 23

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