(y-4)-(y+9)=3y

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Solution for (y-4)-(y+9)=3y equation:


Simplifying
(y + -4) + -1(y + 9) = 3y

Reorder the terms:
(-4 + y) + -1(y + 9) = 3y

Remove parenthesis around (-4 + y)
-4 + y + -1(y + 9) = 3y

Reorder the terms:
-4 + y + -1(9 + y) = 3y
-4 + y + (9 * -1 + y * -1) = 3y
-4 + y + (-9 + -1y) = 3y

Reorder the terms:
-4 + -9 + y + -1y = 3y

Combine like terms: -4 + -9 = -13
-13 + y + -1y = 3y

Combine like terms: y + -1y = 0
-13 + 0 = 3y
-13 = 3y

Solving
-13 = 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-13 + -3y = 3y + -3y

Combine like terms: 3y + -3y = 0
-13 + -3y = 0

Add '13' to each side of the equation.
-13 + 13 + -3y = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -3y = 0 + 13
-3y = 0 + 13

Combine like terms: 0 + 13 = 13
-3y = 13

Divide each side by '-3'.
y = -4.333333333

Simplifying
y = -4.333333333

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