(3y-5)+(5y+20)=-22

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Solution for (3y-5)+(5y+20)=-22 equation: 


Simplifying
(3y + -5) + (5y + 20) = -22

Reorder the terms:
(-5 + 3y) + (5y + 20) = -22

Remove parenthesis around (-5 + 3y)
-5 + 3y + (5y + 20) = -22

Reorder the terms:
-5 + 3y + (20 + 5y) = -22

Remove parenthesis around (20 + 5y)
-5 + 3y + 20 + 5y = -22

Reorder the terms:
-5 + 20 + 3y + 5y = -22

Combine like terms: -5 + 20 = 15
15 + 3y + 5y = -22

Combine like terms: 3y + 5y = 8y
15 + 8y = -22

Solving
15 + 8y = -22

Solving for variable 'y'.

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

Add '-15' to each side of the equation.
15 + -15 + 8y = -22 + -15

Combine like terms: 15 + -15 = 0
0 + 8y = -22 + -15
8y = -22 + -15

Combine like terms: -22 + -15 = -37
8y = -37

Divide each side by '8'.
y = -4.625

Simplifying
y = -4.625

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