-5(6y-4)-y=-2(y-3)

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Solution for -5(6y-4)-y=-2(y-3) equation:


Simplifying
-5(6y + -4) + -1y = -2(y + -3)

Reorder the terms:
-5(-4 + 6y) + -1y = -2(y + -3)
(-4 * -5 + 6y * -5) + -1y = -2(y + -3)
(20 + -30y) + -1y = -2(y + -3)

Combine like terms: -30y + -1y = -31y
20 + -31y = -2(y + -3)

Reorder the terms:
20 + -31y = -2(-3 + y)
20 + -31y = (-3 * -2 + y * -2)
20 + -31y = (6 + -2y)

Solving
20 + -31y = 6 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
20 + -31y + 2y = 6 + -2y + 2y

Combine like terms: -31y + 2y = -29y
20 + -29y = 6 + -2y + 2y

Combine like terms: -2y + 2y = 0
20 + -29y = 6 + 0
20 + -29y = 6

Add '-20' to each side of the equation.
20 + -20 + -29y = 6 + -20

Combine like terms: 20 + -20 = 0
0 + -29y = 6 + -20
-29y = 6 + -20

Combine like terms: 6 + -20 = -14
-29y = -14

Divide each side by '-29'.
y = 0.4827586207

Simplifying
y = 0.4827586207

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