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

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


Simplifying
5(2y + -8) + -1(8y + 5) = 0

Reorder the terms:
5(-8 + 2y) + -1(8y + 5) = 0
(-8 * 5 + 2y * 5) + -1(8y + 5) = 0
(-40 + 10y) + -1(8y + 5) = 0

Reorder the terms:
-40 + 10y + -1(5 + 8y) = 0
-40 + 10y + (5 * -1 + 8y * -1) = 0
-40 + 10y + (-5 + -8y) = 0

Reorder the terms:
-40 + -5 + 10y + -8y = 0

Combine like terms: -40 + -5 = -45
-45 + 10y + -8y = 0

Combine like terms: 10y + -8y = 2y
-45 + 2y = 0

Solving
-45 + 2y = 0

Solving for variable 'y'.

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

Add '45' to each side of the equation.
-45 + 45 + 2y = 0 + 45

Combine like terms: -45 + 45 = 0
0 + 2y = 0 + 45
2y = 0 + 45

Combine like terms: 0 + 45 = 45
2y = 45

Divide each side by '2'.
y = 22.5

Simplifying
y = 22.5

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