-2y-10=-5(y-4)

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Solution for -2y-10=-5(y-4) equation:


Simplifying
-2y + -10 = -5(y + -4)

Reorder the terms:
-10 + -2y = -5(y + -4)

Reorder the terms:
-10 + -2y = -5(-4 + y)
-10 + -2y = (-4 * -5 + y * -5)
-10 + -2y = (20 + -5y)

Solving
-10 + -2y = 20 + -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
-10 + -2y + 5y = 20 + -5y + 5y

Combine like terms: -2y + 5y = 3y
-10 + 3y = 20 + -5y + 5y

Combine like terms: -5y + 5y = 0
-10 + 3y = 20 + 0
-10 + 3y = 20

Add '10' to each side of the equation.
-10 + 10 + 3y = 20 + 10

Combine like terms: -10 + 10 = 0
0 + 3y = 20 + 10
3y = 20 + 10

Combine like terms: 20 + 10 = 30
3y = 30

Divide each side by '3'.
y = 10

Simplifying
y = 10

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