2(y-9)-8=-4(4y+2)-6y

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


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

Reorder the terms:
2(-9 + y) + -8 = -4(4y + 2) + -6y
(-9 * 2 + y * 2) + -8 = -4(4y + 2) + -6y
(-18 + 2y) + -8 = -4(4y + 2) + -6y

Reorder the terms:
-18 + -8 + 2y = -4(4y + 2) + -6y

Combine like terms: -18 + -8 = -26
-26 + 2y = -4(4y + 2) + -6y

Reorder the terms:
-26 + 2y = -4(2 + 4y) + -6y
-26 + 2y = (2 * -4 + 4y * -4) + -6y
-26 + 2y = (-8 + -16y) + -6y

Combine like terms: -16y + -6y = -22y
-26 + 2y = -8 + -22y

Solving
-26 + 2y = -8 + -22y

Solving for variable 'y'.

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

Add '22y' to each side of the equation.
-26 + 2y + 22y = -8 + -22y + 22y

Combine like terms: 2y + 22y = 24y
-26 + 24y = -8 + -22y + 22y

Combine like terms: -22y + 22y = 0
-26 + 24y = -8 + 0
-26 + 24y = -8

Add '26' to each side of the equation.
-26 + 26 + 24y = -8 + 26

Combine like terms: -26 + 26 = 0
0 + 24y = -8 + 26
24y = -8 + 26

Combine like terms: -8 + 26 = 18
24y = 18

Divide each side by '24'.
y = 0.75

Simplifying
y = 0.75

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