-5(y-4)=-3y+8y

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Solution for -5(y-4)=-3y+8y equation:


Simplifying
-5(y + -4) = -3y + 8y

Reorder the terms:
-5(-4 + y) = -3y + 8y
(-4 * -5 + y * -5) = -3y + 8y
(20 + -5y) = -3y + 8y

Combine like terms: -3y + 8y = 5y
20 + -5y = 5y

Solving
20 + -5y = 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.
20 + -5y + -5y = 5y + -5y

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

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

Add '-20' to each side of the equation.
20 + -20 + -10y = 0 + -20

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

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

Divide each side by '-10'.
y = 2

Simplifying
y = 2

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