-4(2y-7)-y=-2(y-3)

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Solution for -4(2y-7)-y=-2(y-3) equation:


Simplifying
-4(2y + -7) + -1y = -2(y + -3)

Reorder the terms:
-4(-7 + 2y) + -1y = -2(y + -3)
(-7 * -4 + 2y * -4) + -1y = -2(y + -3)
(28 + -8y) + -1y = -2(y + -3)

Combine like terms: -8y + -1y = -9y
28 + -9y = -2(y + -3)

Reorder the terms:
28 + -9y = -2(-3 + y)
28 + -9y = (-3 * -2 + y * -2)
28 + -9y = (6 + -2y)

Solving
28 + -9y = 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.
28 + -9y + 2y = 6 + -2y + 2y

Combine like terms: -9y + 2y = -7y
28 + -7y = 6 + -2y + 2y

Combine like terms: -2y + 2y = 0
28 + -7y = 6 + 0
28 + -7y = 6

Add '-28' to each side of the equation.
28 + -28 + -7y = 6 + -28

Combine like terms: 28 + -28 = 0
0 + -7y = 6 + -28
-7y = 6 + -28

Combine like terms: 6 + -28 = -22
-7y = -22

Divide each side by '-7'.
y = 3.142857143

Simplifying
y = 3.142857143

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