-5(5y-6)-y=-4(y-4)

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


Simplifying
-5(5y + -6) + -1y = -4(y + -4)

Reorder the terms:
-5(-6 + 5y) + -1y = -4(y + -4)
(-6 * -5 + 5y * -5) + -1y = -4(y + -4)
(30 + -25y) + -1y = -4(y + -4)

Combine like terms: -25y + -1y = -26y
30 + -26y = -4(y + -4)

Reorder the terms:
30 + -26y = -4(-4 + y)
30 + -26y = (-4 * -4 + y * -4)
30 + -26y = (16 + -4y)

Solving
30 + -26y = 16 + -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.
30 + -26y + 4y = 16 + -4y + 4y

Combine like terms: -26y + 4y = -22y
30 + -22y = 16 + -4y + 4y

Combine like terms: -4y + 4y = 0
30 + -22y = 16 + 0
30 + -22y = 16

Add '-30' to each side of the equation.
30 + -30 + -22y = 16 + -30

Combine like terms: 30 + -30 = 0
0 + -22y = 16 + -30
-22y = 16 + -30

Combine like terms: 16 + -30 = -14
-22y = -14

Divide each side by '-22'.
y = 0.6363636364

Simplifying
y = 0.6363636364

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