2(5y-1)=-4(y-3)

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Solution for 2(5y-1)=-4(y-3) equation:


Simplifying
2(5y + -1) = -4(y + -3)

Reorder the terms:
2(-1 + 5y) = -4(y + -3)
(-1 * 2 + 5y * 2) = -4(y + -3)
(-2 + 10y) = -4(y + -3)

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

Solving
-2 + 10y = 12 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
-2 + 10y + 4y = 12 + -4y + 4y

Combine like terms: 10y + 4y = 14y
-2 + 14y = 12 + -4y + 4y

Combine like terms: -4y + 4y = 0
-2 + 14y = 12 + 0
-2 + 14y = 12

Add '2' to each side of the equation.
-2 + 2 + 14y = 12 + 2

Combine like terms: -2 + 2 = 0
0 + 14y = 12 + 2
14y = 12 + 2

Combine like terms: 12 + 2 = 14
14y = 14

Divide each side by '14'.
y = 1

Simplifying
y = 1

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