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

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


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

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

Combine like terms: -10y + -1y = -11y
4 + -11y = -4(y + -3)

Reorder the terms:
4 + -11y = -4(-3 + y)
4 + -11y = (-3 * -4 + y * -4)
4 + -11y = (12 + -4y)

Solving
4 + -11y = 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.
4 + -11y + 4y = 12 + -4y + 4y

Combine like terms: -11y + 4y = -7y
4 + -7y = 12 + -4y + 4y

Combine like terms: -4y + 4y = 0
4 + -7y = 12 + 0
4 + -7y = 12

Add '-4' to each side of the equation.
4 + -4 + -7y = 12 + -4

Combine like terms: 4 + -4 = 0
0 + -7y = 12 + -4
-7y = 12 + -4

Combine like terms: 12 + -4 = 8
-7y = 8

Divide each side by '-7'.
y = -1.142857143

Simplifying
y = -1.142857143

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