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

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


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

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

Reorder the terms:
-5 + -5y = -3(-1 + 8y) + 7y
-5 + -5y = (-1 * -3 + 8y * -3) + 7y
-5 + -5y = (3 + -24y) + 7y

Combine like terms: -24y + 7y = -17y
-5 + -5y = 3 + -17y

Solving
-5 + -5y = 3 + -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.
-5 + -5y + 17y = 3 + -17y + 17y

Combine like terms: -5y + 17y = 12y
-5 + 12y = 3 + -17y + 17y

Combine like terms: -17y + 17y = 0
-5 + 12y = 3 + 0
-5 + 12y = 3

Add '5' to each side of the equation.
-5 + 5 + 12y = 3 + 5

Combine like terms: -5 + 5 = 0
0 + 12y = 3 + 5
12y = 3 + 5

Combine like terms: 3 + 5 = 8
12y = 8

Divide each side by '12'.
y = 0.6666666667

Simplifying
y = 0.6666666667

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