(y-2)+(3y+5)-9=2

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Solution for (y-2)+(3y+5)-9=2 equation:


Simplifying
(y + -2) + (3y + 5) + -9 = 2

Reorder the terms:
(-2 + y) + (3y + 5) + -9 = 2

Remove parenthesis around (-2 + y)
-2 + y + (3y + 5) + -9 = 2

Reorder the terms:
-2 + y + (5 + 3y) + -9 = 2

Remove parenthesis around (5 + 3y)
-2 + y + 5 + 3y + -9 = 2

Reorder the terms:
-2 + 5 + -9 + y + 3y = 2

Combine like terms: -2 + 5 = 3
3 + -9 + y + 3y = 2

Combine like terms: 3 + -9 = -6
-6 + y + 3y = 2

Combine like terms: y + 3y = 4y
-6 + 4y = 2

Solving
-6 + 4y = 2

Solving for variable 'y'.

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

Add '6' to each side of the equation.
-6 + 6 + 4y = 2 + 6

Combine like terms: -6 + 6 = 0
0 + 4y = 2 + 6
4y = 2 + 6

Combine like terms: 2 + 6 = 8
4y = 8

Divide each side by '4'.
y = 2

Simplifying
y = 2

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