-5(4y-2)=-2(3+6y)

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Solution for -5(4y-2)=-2(3+6y) equation:


Simplifying
-5(4y + -2) = -2(3 + 6y)

Reorder the terms:
-5(-2 + 4y) = -2(3 + 6y)
(-2 * -5 + 4y * -5) = -2(3 + 6y)
(10 + -20y) = -2(3 + 6y)
10 + -20y = (3 * -2 + 6y * -2)
10 + -20y = (-6 + -12y)

Solving
10 + -20y = -6 + -12y

Solving for variable 'y'.

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

Add '12y' to each side of the equation.
10 + -20y + 12y = -6 + -12y + 12y

Combine like terms: -20y + 12y = -8y
10 + -8y = -6 + -12y + 12y

Combine like terms: -12y + 12y = 0
10 + -8y = -6 + 0
10 + -8y = -6

Add '-10' to each side of the equation.
10 + -10 + -8y = -6 + -10

Combine like terms: 10 + -10 = 0
0 + -8y = -6 + -10
-8y = -6 + -10

Combine like terms: -6 + -10 = -16
-8y = -16

Divide each side by '-8'.
y = 2

Simplifying
y = 2

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