(5y-8)+(3y+9)=-33

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Solution for (5y-8)+(3y+9)=-33 equation: 


Simplifying
(5y + -8) + (3y + 9) = -33

Reorder the terms:
(-8 + 5y) + (3y + 9) = -33

Remove parenthesis around (-8 + 5y)
-8 + 5y + (3y + 9) = -33

Reorder the terms:
-8 + 5y + (9 + 3y) = -33

Remove parenthesis around (9 + 3y)
-8 + 5y + 9 + 3y = -33

Reorder the terms:
-8 + 9 + 5y + 3y = -33

Combine like terms: -8 + 9 = 1
1 + 5y + 3y = -33

Combine like terms: 5y + 3y = 8y
1 + 8y = -33

Solving
1 + 8y = -33

Solving for variable 'y'.

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

Add '-1' to each side of the equation.
1 + -1 + 8y = -33 + -1

Combine like terms: 1 + -1 = 0
0 + 8y = -33 + -1
8y = -33 + -1

Combine like terms: -33 + -1 = -34
8y = -34

Divide each side by '8'.
y = -4.25

Simplifying
y = -4.25

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