5(y-8)=3-(2y+9)

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Solution for 5(y-8)=3-(2y+9) equation:


Simplifying
5(y + -8) = 3 + -1(2y + 9)

Reorder the terms:
5(-8 + y) = 3 + -1(2y + 9)
(-8 * 5 + y * 5) = 3 + -1(2y + 9)
(-40 + 5y) = 3 + -1(2y + 9)

Reorder the terms:
-40 + 5y = 3 + -1(9 + 2y)
-40 + 5y = 3 + (9 * -1 + 2y * -1)
-40 + 5y = 3 + (-9 + -2y)

Combine like terms: 3 + -9 = -6
-40 + 5y = -6 + -2y

Solving
-40 + 5y = -6 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
-40 + 5y + 2y = -6 + -2y + 2y

Combine like terms: 5y + 2y = 7y
-40 + 7y = -6 + -2y + 2y

Combine like terms: -2y + 2y = 0
-40 + 7y = -6 + 0
-40 + 7y = -6

Add '40' to each side of the equation.
-40 + 40 + 7y = -6 + 40

Combine like terms: -40 + 40 = 0
0 + 7y = -6 + 40
7y = -6 + 40

Combine like terms: -6 + 40 = 34
7y = 34

Divide each side by '7'.
y = 4.857142857

Simplifying
y = 4.857142857

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