2(7y-4)-7(2+10y)=-3(7y-9)-6(-8y)

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Solution for 2(7y-4)-7(2+10y)=-3(7y-9)-6(-8y) equation: 


Simplifying
2(7y + -4) + -7(2 + 10y) = -3(7y + -9) + -6(-8y)

Reorder the terms:
2(-4 + 7y) + -7(2 + 10y) = -3(7y + -9) + -6(-8y)
(-4 * 2 + 7y * 2) + -7(2 + 10y) = -3(7y + -9) + -6(-8y)
(-8 + 14y) + -7(2 + 10y) = -3(7y + -9) + -6(-8y)
-8 + 14y + (2 * -7 + 10y * -7) = -3(7y + -9) + -6(-8y)
-8 + 14y + (-14 + -70y) = -3(7y + -9) + -6(-8y)

Reorder the terms:
-8 + -14 + 14y + -70y = -3(7y + -9) + -6(-8y)

Combine like terms: -8 + -14 = -22
-22 + 14y + -70y = -3(7y + -9) + -6(-8y)

Combine like terms: 14y + -70y = -56y
-22 + -56y = -3(7y + -9) + -6(-8y)

Reorder the terms:
-22 + -56y = -3(-9 + 7y) + -6(-8y)
-22 + -56y = (-9 * -3 + 7y * -3) + -6(-8y)
-22 + -56y = (27 + -21y) + -6(-8y)

Remove parenthesis around (-8y)
-22 + -56y = 27 + -21y + -6 * -8y

Multiply -6 * -8
-22 + -56y = 27 + -21y + 48y

Combine like terms: -21y + 48y = 27y
-22 + -56y = 27 + 27y

Solving
-22 + -56y = 27 + 27y

Solving for variable 'y'.

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

Add '-27y' to each side of the equation.
-22 + -56y + -27y = 27 + 27y + -27y

Combine like terms: -56y + -27y = -83y
-22 + -83y = 27 + 27y + -27y

Combine like terms: 27y + -27y = 0
-22 + -83y = 27 + 0
-22 + -83y = 27

Add '22' to each side of the equation.
-22 + 22 + -83y = 27 + 22

Combine like terms: -22 + 22 = 0
0 + -83y = 27 + 22
-83y = 27 + 22

Combine like terms: 27 + 22 = 49
-83y = 49

Divide each side by '-83'.
y = -0.5903614458

Simplifying
y = -0.5903614458

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