(y-4)-(y+7)=3y

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Solution for (y-4)-(y+7)=3y equation:


Simplifying
(y + -4) + -1(y + 7) = 3y

Reorder the terms:
(-4 + y) + -1(y + 7) = 3y

Remove parenthesis around (-4 + y)
-4 + y + -1(y + 7) = 3y

Reorder the terms:
-4 + y + -1(7 + y) = 3y
-4 + y + (7 * -1 + y * -1) = 3y
-4 + y + (-7 + -1y) = 3y

Reorder the terms:
-4 + -7 + y + -1y = 3y

Combine like terms: -4 + -7 = -11
-11 + y + -1y = 3y

Combine like terms: y + -1y = 0
-11 + 0 = 3y
-11 = 3y

Solving
-11 = 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.
-11 + -3y = 3y + -3y

Combine like terms: 3y + -3y = 0
-11 + -3y = 0

Add '11' to each side of the equation.
-11 + 11 + -3y = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -3y = 0 + 11
-3y = 0 + 11

Combine like terms: 0 + 11 = 11
-3y = 11

Divide each side by '-3'.
y = -3.666666667

Simplifying
y = -3.666666667

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