5(y-1)-6=-3(-7y+7)-4y

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Solution for 5(y-1)-6=-3(-7y+7)-4y equation:


Simplifying
5(y + -1) + -6 = -3(-7y + 7) + -4y

Reorder the terms:
5(-1 + y) + -6 = -3(-7y + 7) + -4y
(-1 * 5 + y * 5) + -6 = -3(-7y + 7) + -4y
(-5 + 5y) + -6 = -3(-7y + 7) + -4y

Reorder the terms:
-5 + -6 + 5y = -3(-7y + 7) + -4y

Combine like terms: -5 + -6 = -11
-11 + 5y = -3(-7y + 7) + -4y

Reorder the terms:
-11 + 5y = -3(7 + -7y) + -4y
-11 + 5y = (7 * -3 + -7y * -3) + -4y
-11 + 5y = (-21 + 21y) + -4y

Combine like terms: 21y + -4y = 17y
-11 + 5y = -21 + 17y

Solving
-11 + 5y = -21 + 17y

Solving for variable 'y'.

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

Add '-17y' to each side of the equation.
-11 + 5y + -17y = -21 + 17y + -17y

Combine like terms: 5y + -17y = -12y
-11 + -12y = -21 + 17y + -17y

Combine like terms: 17y + -17y = 0
-11 + -12y = -21 + 0
-11 + -12y = -21

Add '11' to each side of the equation.
-11 + 11 + -12y = -21 + 11

Combine like terms: -11 + 11 = 0
0 + -12y = -21 + 11
-12y = -21 + 11

Combine like terms: -21 + 11 = -10
-12y = -10

Divide each side by '-12'.
y = 0.8333333333

Simplifying
y = 0.8333333333

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