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

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


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

Reorder the terms:
-2(-5 + 3y) + -1y = -4(y + -2)
(-5 * -2 + 3y * -2) + -1y = -4(y + -2)
(10 + -6y) + -1y = -4(y + -2)

Combine like terms: -6y + -1y = -7y
10 + -7y = -4(y + -2)

Reorder the terms:
10 + -7y = -4(-2 + y)
10 + -7y = (-2 * -4 + y * -4)
10 + -7y = (8 + -4y)

Solving
10 + -7y = 8 + -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.
10 + -7y + 4y = 8 + -4y + 4y

Combine like terms: -7y + 4y = -3y
10 + -3y = 8 + -4y + 4y

Combine like terms: -4y + 4y = 0
10 + -3y = 8 + 0
10 + -3y = 8

Add '-10' to each side of the equation.
10 + -10 + -3y = 8 + -10

Combine like terms: 10 + -10 = 0
0 + -3y = 8 + -10
-3y = 8 + -10

Combine like terms: 8 + -10 = -2
-3y = -2

Divide each side by '-3'.
y = 0.6666666667

Simplifying
y = 0.6666666667

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