2(y-8)-1=-3(-7y+7)-5y

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Solution for 2(y-8)-1=-3(-7y+7)-5y equation:


Simplifying
2(y + -8) + -1 = -3(-7y + 7) + -5y

Reorder the terms:
2(-8 + y) + -1 = -3(-7y + 7) + -5y
(-8 * 2 + y * 2) + -1 = -3(-7y + 7) + -5y
(-16 + 2y) + -1 = -3(-7y + 7) + -5y

Reorder the terms:
-16 + -1 + 2y = -3(-7y + 7) + -5y

Combine like terms: -16 + -1 = -17
-17 + 2y = -3(-7y + 7) + -5y

Reorder the terms:
-17 + 2y = -3(7 + -7y) + -5y
-17 + 2y = (7 * -3 + -7y * -3) + -5y
-17 + 2y = (-21 + 21y) + -5y

Combine like terms: 21y + -5y = 16y
-17 + 2y = -21 + 16y

Solving
-17 + 2y = -21 + 16y

Solving for variable 'y'.

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

Add '-16y' to each side of the equation.
-17 + 2y + -16y = -21 + 16y + -16y

Combine like terms: 2y + -16y = -14y
-17 + -14y = -21 + 16y + -16y

Combine like terms: 16y + -16y = 0
-17 + -14y = -21 + 0
-17 + -14y = -21

Add '17' to each side of the equation.
-17 + 17 + -14y = -21 + 17

Combine like terms: -17 + 17 = 0
0 + -14y = -21 + 17
-14y = -21 + 17

Combine like terms: -21 + 17 = -4
-14y = -4

Divide each side by '-14'.
y = 0.2857142857

Simplifying
y = 0.2857142857

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