-2(5y-8)-y=-4(y-3)

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Solution for -2(5y-8)-y=-4(y-3) equation: 


Simplifying
-2(5y + -8) + -1y = -4(y + -3)

Reorder the terms:
-2(-8 + 5y) + -1y = -4(y + -3)
(-8 * -2 + 5y * -2) + -1y = -4(y + -3)
(16 + -10y) + -1y = -4(y + -3)

Combine like terms: -10y + -1y = -11y
16 + -11y = -4(y + -3)

Reorder the terms:
16 + -11y = -4(-3 + y)
16 + -11y = (-3 * -4 + y * -4)
16 + -11y = (12 + -4y)

Solving
16 + -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.
16 + -11y + 4y = 12 + -4y + 4y

Combine like terms: -11y + 4y = -7y
16 + -7y = 12 + -4y + 4y

Combine like terms: -4y + 4y = 0
16 + -7y = 12 + 0
16 + -7y = 12

Add '-16' to each side of the equation.
16 + -16 + -7y = 12 + -16

Combine like terms: 16 + -16 = 0
0 + -7y = 12 + -16
-7y = 12 + -16

Combine like terms: 12 + -16 = -4
-7y = -4

Divide each side by '-7'.
y = 0.5714285714

Simplifying
y = 0.5714285714

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