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

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


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

Reorder the terms:
-4(-2 + 5y) + -1y = -3(y + -2)
(-2 * -4 + 5y * -4) + -1y = -3(y + -2)
(8 + -20y) + -1y = -3(y + -2)

Combine like terms: -20y + -1y = -21y
8 + -21y = -3(y + -2)

Reorder the terms:
8 + -21y = -3(-2 + y)
8 + -21y = (-2 * -3 + y * -3)
8 + -21y = (6 + -3y)

Solving
8 + -21y = 6 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
8 + -21y + 3y = 6 + -3y + 3y

Combine like terms: -21y + 3y = -18y
8 + -18y = 6 + -3y + 3y

Combine like terms: -3y + 3y = 0
8 + -18y = 6 + 0
8 + -18y = 6

Add '-8' to each side of the equation.
8 + -8 + -18y = 6 + -8

Combine like terms: 8 + -8 = 0
0 + -18y = 6 + -8
-18y = 6 + -8

Combine like terms: 6 + -8 = -2
-18y = -2

Divide each side by '-18'.
y = 0.1111111111

Simplifying
y = 0.1111111111

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