(y-11)-(y+6)=4y

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Solution for (y-11)-(y+6)=4y equation:


Simplifying
(y + -11) + -1(y + 6) = 4y

Reorder the terms:
(-11 + y) + -1(y + 6) = 4y

Remove parenthesis around (-11 + y)
-11 + y + -1(y + 6) = 4y

Reorder the terms:
-11 + y + -1(6 + y) = 4y
-11 + y + (6 * -1 + y * -1) = 4y
-11 + y + (-6 + -1y) = 4y

Reorder the terms:
-11 + -6 + y + -1y = 4y

Combine like terms: -11 + -6 = -17
-17 + y + -1y = 4y

Combine like terms: y + -1y = 0
-17 + 0 = 4y
-17 = 4y

Solving
-17 = 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
-17 + -4y = 4y + -4y

Combine like terms: 4y + -4y = 0
-17 + -4y = 0

Add '17' to each side of the equation.
-17 + 17 + -4y = 0 + 17

Combine like terms: -17 + 17 = 0
0 + -4y = 0 + 17
-4y = 0 + 17

Combine like terms: 0 + 17 = 17
-4y = 17

Divide each side by '-4'.
y = -4.25

Simplifying
y = -4.25

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