(3y-11)+(y+19)=90

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Solution for (3y-11)+(y+19)=90 equation:


Simplifying
(3y + -11) + (y + 19) = 90

Reorder the terms:
(-11 + 3y) + (y + 19) = 90

Remove parenthesis around (-11 + 3y)
-11 + 3y + (y + 19) = 90

Reorder the terms:
-11 + 3y + (19 + y) = 90

Remove parenthesis around (19 + y)
-11 + 3y + 19 + y = 90

Reorder the terms:
-11 + 19 + 3y + y = 90

Combine like terms: -11 + 19 = 8
8 + 3y + y = 90

Combine like terms: 3y + y = 4y
8 + 4y = 90

Solving
8 + 4y = 90

Solving for variable 'y'.

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

Add '-8' to each side of the equation.
8 + -8 + 4y = 90 + -8

Combine like terms: 8 + -8 = 0
0 + 4y = 90 + -8
4y = 90 + -8

Combine like terms: 90 + -8 = 82
4y = 82

Divide each side by '4'.
y = 20.5

Simplifying
y = 20.5

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