-5(5y-6)-y=-3(y-4)

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Solution for -5(5y-6)-y=-3(y-4) equation:


Simplifying
-5(5y + -6) + -1y = -3(y + -4)

Reorder the terms:
-5(-6 + 5y) + -1y = -3(y + -4)
(-6 * -5 + 5y * -5) + -1y = -3(y + -4)
(30 + -25y) + -1y = -3(y + -4)

Combine like terms: -25y + -1y = -26y
30 + -26y = -3(y + -4)

Reorder the terms:
30 + -26y = -3(-4 + y)
30 + -26y = (-4 * -3 + y * -3)
30 + -26y = (12 + -3y)

Solving
30 + -26y = 12 + -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.
30 + -26y + 3y = 12 + -3y + 3y

Combine like terms: -26y + 3y = -23y
30 + -23y = 12 + -3y + 3y

Combine like terms: -3y + 3y = 0
30 + -23y = 12 + 0
30 + -23y = 12

Add '-30' to each side of the equation.
30 + -30 + -23y = 12 + -30

Combine like terms: 30 + -30 = 0
0 + -23y = 12 + -30
-23y = 12 + -30

Combine like terms: 12 + -30 = -18
-23y = -18

Divide each side by '-23'.
y = 0.7826086957

Simplifying
y = 0.7826086957

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