(2y-10)+5=-3y+2y-6

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Solution for (2y-10)+5=-3y+2y-6 equation:


Simplifying
(2y + -10) + 5 = -3y + 2y + -6

Reorder the terms:
(-10 + 2y) + 5 = -3y + 2y + -6

Remove parenthesis around (-10 + 2y)
-10 + 2y + 5 = -3y + 2y + -6

Reorder the terms:
-10 + 5 + 2y = -3y + 2y + -6

Combine like terms: -10 + 5 = -5
-5 + 2y = -3y + 2y + -6

Reorder the terms:
-5 + 2y = -6 + -3y + 2y

Combine like terms: -3y + 2y = -1y
-5 + 2y = -6 + -1y

Solving
-5 + 2y = -6 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
-5 + 2y + y = -6 + -1y + y

Combine like terms: 2y + y = 3y
-5 + 3y = -6 + -1y + y

Combine like terms: -1y + y = 0
-5 + 3y = -6 + 0
-5 + 3y = -6

Add '5' to each side of the equation.
-5 + 5 + 3y = -6 + 5

Combine like terms: -5 + 5 = 0
0 + 3y = -6 + 5
3y = -6 + 5

Combine like terms: -6 + 5 = -1
3y = -1

Divide each side by '3'.
y = -0.3333333333

Simplifying
y = -0.3333333333

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