(3y+1)+(2y+2)+32=180

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Solution for (3y+1)+(2y+2)+32=180 equation:


Simplifying
(3y + 1) + (2y + 2) + 32 = 180

Reorder the terms:
(1 + 3y) + (2y + 2) + 32 = 180

Remove parenthesis around (1 + 3y)
1 + 3y + (2y + 2) + 32 = 180

Reorder the terms:
1 + 3y + (2 + 2y) + 32 = 180

Remove parenthesis around (2 + 2y)
1 + 3y + 2 + 2y + 32 = 180

Reorder the terms:
1 + 2 + 32 + 3y + 2y = 180

Combine like terms: 1 + 2 = 3
3 + 32 + 3y + 2y = 180

Combine like terms: 3 + 32 = 35
35 + 3y + 2y = 180

Combine like terms: 3y + 2y = 5y
35 + 5y = 180

Solving
35 + 5y = 180

Solving for variable 'y'.

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

Add '-35' to each side of the equation.
35 + -35 + 5y = 180 + -35

Combine like terms: 35 + -35 = 0
0 + 5y = 180 + -35
5y = 180 + -35

Combine like terms: 180 + -35 = 145
5y = 145

Divide each side by '5'.
y = 29

Simplifying
y = 29

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