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

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


Simplifying
5(4 + -1y) = -4(10 + 2y)
(4 * 5 + -1y * 5) = -4(10 + 2y)
(20 + -5y) = -4(10 + 2y)
20 + -5y = (10 * -4 + 2y * -4)
20 + -5y = (-40 + -8y)

Solving
20 + -5y = -40 + -8y

Solving for variable 'y'.

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

Add '8y' to each side of the equation.
20 + -5y + 8y = -40 + -8y + 8y

Combine like terms: -5y + 8y = 3y
20 + 3y = -40 + -8y + 8y

Combine like terms: -8y + 8y = 0
20 + 3y = -40 + 0
20 + 3y = -40

Add '-20' to each side of the equation.
20 + -20 + 3y = -40 + -20

Combine like terms: 20 + -20 = 0
0 + 3y = -40 + -20
3y = -40 + -20

Combine like terms: -40 + -20 = -60
3y = -60

Divide each side by '3'.
y = -20

Simplifying
y = -20

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