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

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


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

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

Reorder the terms:
20 + -5y = -10 + -2y

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

Solving for variable 'y'.

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

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

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

Combine like terms: -2y + 2y = 0
20 + -3y = -10 + 0
20 + -3y = -10

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

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

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

Divide each side by '-3'.
y = 10

Simplifying
y = 10

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