(5y+8)+(9y-3)=89

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Solution for (5y+8)+(9y-3)=89 equation:


Simplifying
(5y + 8) + (9y + -3) = 89

Reorder the terms:
(8 + 5y) + (9y + -3) = 89

Remove parenthesis around (8 + 5y)
8 + 5y + (9y + -3) = 89

Reorder the terms:
8 + 5y + (-3 + 9y) = 89

Remove parenthesis around (-3 + 9y)
8 + 5y + -3 + 9y = 89

Reorder the terms:
8 + -3 + 5y + 9y = 89

Combine like terms: 8 + -3 = 5
5 + 5y + 9y = 89

Combine like terms: 5y + 9y = 14y
5 + 14y = 89

Solving
5 + 14y = 89

Solving for variable 'y'.

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

Add '-5' to each side of the equation.
5 + -5 + 14y = 89 + -5

Combine like terms: 5 + -5 = 0
0 + 14y = 89 + -5
14y = 89 + -5

Combine like terms: 89 + -5 = 84
14y = 84

Divide each side by '14'.
y = 6

Simplifying
y = 6

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