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

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


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

Reorder the terms:
2(-8 + y) + -3 = -7(-2y + 4) + -6y
(-8 * 2 + y * 2) + -3 = -7(-2y + 4) + -6y
(-16 + 2y) + -3 = -7(-2y + 4) + -6y

Reorder the terms:
-16 + -3 + 2y = -7(-2y + 4) + -6y

Combine like terms: -16 + -3 = -19
-19 + 2y = -7(-2y + 4) + -6y

Reorder the terms:
-19 + 2y = -7(4 + -2y) + -6y
-19 + 2y = (4 * -7 + -2y * -7) + -6y
-19 + 2y = (-28 + 14y) + -6y

Combine like terms: 14y + -6y = 8y
-19 + 2y = -28 + 8y

Solving
-19 + 2y = -28 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
-19 + 2y + -8y = -28 + 8y + -8y

Combine like terms: 2y + -8y = -6y
-19 + -6y = -28 + 8y + -8y

Combine like terms: 8y + -8y = 0
-19 + -6y = -28 + 0
-19 + -6y = -28

Add '19' to each side of the equation.
-19 + 19 + -6y = -28 + 19

Combine like terms: -19 + 19 = 0
0 + -6y = -28 + 19
-6y = -28 + 19

Combine like terms: -28 + 19 = -9
-6y = -9

Divide each side by '-6'.
y = 1.5

Simplifying
y = 1.5

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