(5y+3)+(5y+3)+(3y-5)+(3y-5)=44

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Solution for (5y+3)+(5y+3)+(3y-5)+(3y-5)=44 equation:


Simplifying
(5y + 3) + (5y + 3) + (3y + -5) + (3y + -5) = 44

Reorder the terms:
(3 + 5y) + (5y + 3) + (3y + -5) + (3y + -5) = 44

Remove parenthesis around (3 + 5y)
3 + 5y + (5y + 3) + (3y + -5) + (3y + -5) = 44

Reorder the terms:
3 + 5y + (3 + 5y) + (3y + -5) + (3y + -5) = 44

Remove parenthesis around (3 + 5y)
3 + 5y + 3 + 5y + (3y + -5) + (3y + -5) = 44

Reorder the terms:
3 + 5y + 3 + 5y + (-5 + 3y) + (3y + -5) = 44

Remove parenthesis around (-5 + 3y)
3 + 5y + 3 + 5y + -5 + 3y + (3y + -5) = 44

Reorder the terms:
3 + 5y + 3 + 5y + -5 + 3y + (-5 + 3y) = 44

Remove parenthesis around (-5 + 3y)
3 + 5y + 3 + 5y + -5 + 3y + -5 + 3y = 44

Reorder the terms:
3 + 3 + -5 + -5 + 5y + 5y + 3y + 3y = 44

Combine like terms: 3 + 3 = 6
6 + -5 + -5 + 5y + 5y + 3y + 3y = 44

Combine like terms: 6 + -5 = 1
1 + -5 + 5y + 5y + 3y + 3y = 44

Combine like terms: 1 + -5 = -4
-4 + 5y + 5y + 3y + 3y = 44

Combine like terms: 5y + 5y = 10y
-4 + 10y + 3y + 3y = 44

Combine like terms: 10y + 3y = 13y
-4 + 13y + 3y = 44

Combine like terms: 13y + 3y = 16y
-4 + 16y = 44

Solving
-4 + 16y = 44

Solving for variable 'y'.

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

Add '4' to each side of the equation.
-4 + 4 + 16y = 44 + 4

Combine like terms: -4 + 4 = 0
0 + 16y = 44 + 4
16y = 44 + 4

Combine like terms: 44 + 4 = 48
16y = 48

Divide each side by '16'.
y = 3

Simplifying
y = 3

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