(y-10)-(y+4)=6y

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Solution for (y-10)-(y+4)=6y equation:


Simplifying
(y + -10) + -1(y + 4) = 6y

Reorder the terms:
(-10 + y) + -1(y + 4) = 6y

Remove parenthesis around (-10 + y)
-10 + y + -1(y + 4) = 6y

Reorder the terms:
-10 + y + -1(4 + y) = 6y
-10 + y + (4 * -1 + y * -1) = 6y
-10 + y + (-4 + -1y) = 6y

Reorder the terms:
-10 + -4 + y + -1y = 6y

Combine like terms: -10 + -4 = -14
-14 + y + -1y = 6y

Combine like terms: y + -1y = 0
-14 + 0 = 6y
-14 = 6y

Solving
-14 = 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
-14 + -6y = 6y + -6y

Combine like terms: 6y + -6y = 0
-14 + -6y = 0

Add '14' to each side of the equation.
-14 + 14 + -6y = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -6y = 0 + 14
-6y = 0 + 14

Combine like terms: 0 + 14 = 14
-6y = 14

Divide each side by '-6'.
y = -2.333333333

Simplifying
y = -2.333333333

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